Takahashi Masatomo 高橋雅朋

… Alternative Names

TAKAHASHI Masatomo 高橋雅朋

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Researcher Number	80431302
Other IDs
External Links
Affiliation (Current)	2025: 室蘭工業大学, 大学院工学研究科, 教授
Affiliation (based on the past Project Information) *help	2021 – 2024: 室蘭工業大学, 大学院工学研究科, 教授 2018 – 2020: 室蘭工業大学, 大学院工学研究科, 准教授 2016 – 2017: 室蘭工業大学, 工学研究科, 准教授 2011 – 2016: 室蘭工業大学, 工学(系)研究科(研究院), 准教授 2013: 室蘭工業大学, ひと文化系, 准教授 … More 2013: 室蘭工業大学, 工学部, 准教授 2009: 室蘭工業大学, ひと文化系, 講師 2009: Muroran Institute of Technology, 大学院・工学研究科, 講師 2007 – 2008: Muroran Institute of Technology, 工学部, 講師 2007: 北大, 理学(系)研究科(研究院) 2006: 北海道大学, 大学院理学研究院, 学術研究員 Less
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Geometry / Medium-sized Section 11:Algebra, geometry, and related fields / Global analysis
Keywords	Principal Investigator 特異点論 / 微分幾何学 / ルジャンドル特異点論 / 枠付き曲面 / 微分方程式 / ラグランジュ特異点論 / 枠付き曲線 / 縮閉線 / ルジャンドル曲線 / 双対性 … More / 特異点 / ミンコフスキー空間 / ローレンツ・ミンコフスキー空間 / 一般枠付き曲面 / 不変量 / 包絡線 / 曲率 / 曲面論 / 曲線論 / 伸開線 / 焦面 / 波面 / 移動曲面 / ベルトラン曲線 / 等積アファイン曲線 / 測地線 / 四頂点定理 / 光的枠 / 光錐枠付き曲線 / 光錐枠付き曲面 / ベルトラン型曲線 / 幾何学 / アファイン曲線 / クレロー型微分方程式 / 包絡面 / ド・シッター空間 / 双曲空間 / 球面曲線 / implicitな常微分方程式 / フロント / 幾何構造 / フロンタル / 完全解 / ルジャンドル特異点諭 / Implicit 常微分方程式 / ルジャンドル特異点 / ラグランジュ特異点 / Implicit常微分方程式 / エンゲル・ルジャンドル変換 / 2階常微分方程式 / Implicitな微分方程式 … More Except Principal Investigator 幾何構造 / 特異性 / モンジュ・アンペール方程式 / 重みつき微分方程式 / リー代数表現 / コーン場 / 旗多様体 / 微分方程式 / ツイスター理論 / 特異点判定法 / 曲率 / 可展面 / ダルブー枠 / 特性線 / 漸近線 / 余階数2特異点 / 螺旋曲面 / 波面 / 特異点 / 特異制御 / 幾何学的解 / ニュートラル計量 / 拘束ハミルトン系 / 接触構造 / 双対性 / ジェネリック幾何 / 特異点の実形 / 錐構造 / 幾何学的制御理論 / 写像の特異点 / フロンタル安定性 / 特異点の認識問題 / G2接触構造 / コフロンタル / (2,3,5)分布 / 分岐加群 / 開化 / 特異点のロバスト性 / 特異点の安定性 / 接線曲面 / ラグランジュ錐構造 / フロンタル / 世界面 / Darboux枠 / グラフ型波面 / バンド交差理論 / 焦点集合 / グラフ型大波面 / 垂足曲線 / ツバメの尾曲面 / バンド交差 / バルクエッジ対応 / ホログラフィー原理 / 光化学反応 / トポロジカル絶縁体 / カスプ辺 / 垂足部分集合 / 双曲空間 / スピントロニクス / ルジャンドル特異点 / ラグランジュ特異点 / 幾何学 / 非線形現象 / 非ガウス型積分 / モンジュ・アンペール系 / 終結式 / ラグランジュ・グラスマン射影双対 / 共形3対性 / D_4型旗多様体 / 外在的幾何 / 線形微分方程式系 / 次数つきリー代数表現 / ガウス・マニン接続 / 超幾何積分 / 共形３対性 / D_4図式 / sub-front / Carnot-Caratheodory metric / sub-Finsler structure / tangent map / frontal map / versal opening / normal form / singular trajectory / Cartan structure / tangent variety / open Scherbak surface / open folded pleat / open swallowrtail / opening / sub-Riemann metric / null-frontal / D-singularity theory / conical control system / totally singular curve / triality / Cartan's G2-geometry / hyperfield / open Scherback surface / open Mond surface / open swallowtail / opening construction / tangent surface / クレロー方程式 / ルジャンドル特異点論 / エンゲル・ルジャンドル双対 / ラグランジュ・グラスマン双対 / インスタントン / 近ケーラー多様体 / 部分多様体 / ベックルント変換 / グルサー方程式 / 超幾何微分方程式 / 超行列式 Less

Theory of generalised framed surfaces and application to Lorentz-Minkowski spacePrincipal Investigator
- Principal Investigator
  
  高橋雅朋
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Muroran Institute of Technology
Cross-disciplinary fusion of singular phenomena by singularity theory
- Principal Investigator
  
  佐治健太郎
- Project Period (FY)
  2022 – 2027
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (B))
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Kobe University
Theory of framed curves, framed surfaces and its applicationsPrincipal Investigator
- Principal Investigator
  
  高橋雅朋
- Project Period (FY)
  2020 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Muroran Institute of Technology
Study on surfaces with singular points and singularity theoryPrincipal Investigator
- Principal Investigator
  
  TAKAHASHI MASATOMO
- Project Period (FY)
  2017 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Muroran Institute of Technology
Developments and applications of geometric singularity theory
- Principal Investigator
  
  Goo Ishikawa
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Geometric studies on singularity of non-linear phenomena
- Principal Investigator
  
  Izumiya Shyuichi
- Project Period (FY)
  2014 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University
Singularity theory of differential geometry and its applicationPrincipal Investigator
- Principal Investigator
  
  TAKAHASHI Masatomo
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Muroran Institute of Technology
Applications to differential geometry and singularity theory of differential equationsPrincipal Investigator
- Principal Investigator
  
  TAKAHASHI MASATOMO
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Muroran Institute of Technology
The synthetic study by real algebraic geometry, from sub-Riemannian geometry to tropical geometry
- Principal Investigator
  
  GOO Ishikawa
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Hokkaido University
Study on relations between differential equations and geometric structures by the method of twistor theory
- Principal Investigator
  
  MACHIDA YOSHINORI
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Numazu National College of Technology
Correlation between differential equations, geometric structures, and twistor theory
- Principal Investigator
  
  MACHIDA Yoshinori
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Numazu College of Technology
Duality of differential equations and differential geometry from the view point of singularity theoryPrincipal Investigator
- Principal Investigator
  
  TAKAHASHI Masatomo
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Muroran Institute of Technology
微分方程式と微分幾何学の特異点論的研究Principal Investigator
- Principal Investigator
  
  高橋雅朋
- Project Period (FY)
  2006 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (Start-up)
- Research Field
  
  Geometry
- Research Institution
  Hokkaido University

[Journal Article] Duality and geometry of horocyclic evolutes in hyperbolic plane2024
- Author(s)
  Chen Liang、Izumiya Shyuichi、Takahashi Masatomo
- Journal Title
  
  Research in the Mathematical Sciences
  
  Volume: 11 Issue: 1
- DOI
  10.1007/s40687-024-00434-1
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03573
[Journal Article] Lightcone framed curves in the Lorentz-Minkowski 3-space2024
- Author(s)
  CHEN LIANG、TAKAHASHI MASATOMO
- Journal Title
  
  Turkish Journal of Mathematics
  
  Volume: 48 Issue: 2 Pages: 307-326
- DOI
  10.55730/1300-0098.3508
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03573
[Journal Article] Bertrand and Mannheim curves of framed curves in the 4-dimensional Euclidean space2023
- Author(s)
  Honda Shun’ichi、Takahashi Masatomo、Yu Haiou
- Journal Title
  
  Journal of Geometry
  
  Volume: 114 Issue: 2
- DOI
  10.1007/s00022-023-00673-7
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03573
[Journal Article] Singularities of Translation Surfaces in the Euclidean 3-Space2022
- Author(s)
  Fukunaga Tomonori、Takahashi Masatomo
- Journal Title
  
  Results in Mathematics
  
  Volume: 77 Issue: 2 Pages: 1-28
- DOI
  10.1007/s00025-022-01622-7
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03573
[Journal Article] One‐parameter families of Legendre curves and plane line congruences2022
- Author(s)
  Kabata Yutaro、Takahashi Masatomo
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 295 Issue: 8 Pages: 1533-1561
- DOI
  10.1002/mana.201900327
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03573, KAKENHI-PROJECT-20K14312
[Journal Article] Enveloids of Legendre Curves in the Unit Tangent Bundle over the Euclidean Plane2022
- Author(s)
  Li Enze、Pei Donghe、Takahashi Masatomo
- Journal Title
  
  Bulletin of the Malaysian Mathematical Sciences Society
  
  Volume: 45 Issue: 6 Pages: 3011-3041
- DOI
  10.1007/s40840-022-01320-1
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03573
[Journal Article] Bertrand and Mannheim Curves of Spherical Framed Curves in a Three-Dimensional Sphere2022
- Author(s)
  Takahashi Masatomo、Yu Haiou
- Journal Title
  
  Mathematics
  
  Volume: 10 Issue: 8 Pages: 1292-1292
- DOI
  10.3390/math10081292
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03573
[Journal Article] Equi-affine plane curves with singular points2022
- Author(s)
  Takahashi Masatomo
- Journal Title
  
  Journal of Geometry
  
  Volume: 113 Issue: 1 Pages: 1-16
- DOI
  10.1007/s00022-022-00632-8
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03573
[Journal Article] Framed surfaces and one-parameter families of framed curves in Euclidean 3-space2020
- Author(s)
  Fukunaga Tomonori、Takahashi Masatomo
- Journal Title
  
  Journal of Singularities
  
  Volume: 21 Pages: 50-69
- DOI
  10.5427/jsing.2020.21c
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05238
[Journal Article] Envelopes of families of framed surfaces and singular solutions of first-order partial differential equations2020
- Author(s)
  Takahashi Masatomo、Yu Haiou
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  
  Volume: - Issue: 5 Pages: 1-28
- DOI
  10.1017/prm.2020.71
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03573
[Journal Article] Singularities of Singular Solutions of First-Order Differential Equations of Clairaut Type2020
- Author(s)
  Saji Kentaro、Takahashi Masatomo
- Journal Title
  
  Journal of Dynamical and Control Systems
  
  Volume: - Issue: 1 Pages: 19-41
- DOI
  10.1007/s10883-020-09511-4
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03573
[Journal Article] Dualities and envelopes of one‐parameter families of frontals in hyperbolic and de Sitter 2‐spaces2020
- Author(s)
  Chen L.、Pei D. H.、Takahashi M.
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 293 Issue: 5 Pages: 893-909
- DOI
  10.1002/mana.201800316
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05238
[Journal Article] Bertrand and Mannheim curves of framed curves in the3-dimensional Euclidean space2020
- Author(s)
  HONDA Shun’ichi、TAKAHASHI Masatomo
- Journal Title
  
  TURKISH JOURNAL OF MATHEMATICS
  
  Volume: 44 Issue: 3 Pages: 883-899
- DOI
  10.3906/mat-1905-63
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-20K03573
[Journal Article] On families of Lagrangian submanifolds2020
- Author(s)
  S. Izumiya, M. Takahashi
- Journal Title
  
  Journal of Singularities
  
  Volume: 21 Pages: 188-207
- DOI
  10.5427/jsing.2020.21j
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K18714, KAKENHI-PROJECT-17K05238
[Journal Article] Horo-flat surfaces along cuspidal edges in the hyperbolic space2020
- Author(s)
  Izumiya Shyuichi、Romero-Fuster Maria Carmen、Saji Kentaro、Takahashi Masatomo
- Journal Title
  
  Journal of Singularities
  
  Volume: 22 Pages: 40-58
- DOI
  10.5427/jsing.2020.22d
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03301, KAKENHI-PROJECT-20K03573
[Journal Article] Developable surfaces along frontal curves on embedded surfaces2019
- Author(s)
  Honda Shun'ichi、Izumiya Shyuichi、Takahashi Masatomo
- Journal Title
  
  Journal of Geometry
  
  Volume: 110 Issue: 2 Pages: 1-20
- DOI
  10.1007/s00022-019-0485-z
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05238
[Journal Article] Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space2019
- Author(s)
  Takahashi Masatomo
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 473 Issue: 1 Pages: 408-420
- DOI
  10.1016/j.jmaa.2018.12.057
- NAID
  120006648057
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05238
[Journal Article] Surfaces of Revolution of Frontals in the Euclidean Space2019
- Author(s)
  Takahashi Masatomo、Teramoto Keisuke
- Journal Title
  
  Bulletin of the Brazilian Mathematical Society, New Series
  
  Volume: - Issue: 4 Pages: 887-914
- DOI
  10.1007/s00574-019-00180-x
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05238, KAKENHI-PROJECT-19K14533
[Journal Article] Evolutes and focal surfaces of framed immersions in the Euclidean space2019
- Author(s)
  Honda Shun'ichi、Takahashi Masatomo
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh: Section A Mathematics
  
  Volume: 印刷中 Issue: 1 Pages: 1-20
- DOI
  10.1017/prm.2018.84
- NAID
  120006714561
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05238
[Journal Article] Envelopes of one-parameter families of framed curves in the Euclidean space2019
- Author(s)
  Pei Donghe、Takahashi Masatomo、Yu Haiou
- Journal Title
  
  Journal of Geometry
  
  Volume: 110 Issue: 3 Pages: 1-31
- DOI
  10.1007/s00022-019-0503-1
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05238
[Journal Article] Evolutes of curves in the Lorentz-Minkowski plane2018
- Author(s)
  Izumiya S.、Fuster M. C. Romero、Takahashi M.
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 78 Pages: 313-330
- DOI
  10.2969/aspm/07810313
- NAID
  120006545294
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05238
[Journal Article] Framed Surfaces in the Euclidean Space2018
- Author(s)
  Fukunaga Tomonori、Takahashi Masatomo
- Journal Title
  
  Bulletin of the Brazilian Mathematical Society, New Series
  
  Volume: 50 Issue: 1 Pages: 37-65
- DOI
  10.1007/s00574-018-0090-z
- NAID
  120006780810
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-17K05238
[Journal Article] Existence conditions of framed curves for smooth curves2017
- Author(s)
  Tomonori Fukunaga, Masatomo Takahashi
- Journal Title
  
  Journal of Geometry
  
  Volume: 印刷中 Issue: 2 Pages: 763-774
- DOI
  10.1007/s00022-017-0371-5
- NAID
  120006459777
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400078, KAKENHI-PROJECT-17K05238, KAKENHI-PROJECT-26287009, KAKENHI-PROJECT-15K17547
[Journal Article] Envelopes of legendre curves in the unit spherical bundle over the unit sphere2017
- Author(s)
  Li Yanlin、Pei Donghe、Takahashi Masatomo、Yu Haiou
- Journal Title
  
  The Quarterly Journal of Mathematics
  
  Volume: 印刷中 Issue: 2 Pages: 631-653
- DOI
  10.1093/qmath/hax056
- NAID
  120006529946
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05238
[Journal Article] On convexity of simple closed frontals2016
- Author(s)
  Tomonori Fukunaga, Masatomo Takahashi
- Journal Title
  
  Kodai Mathematical Journal
  
  Volume: 39 Issue: 2 Pages: 389-398
- DOI
  10.2996/kmj/1467830145
- NAID
  120005848684
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400078
[Journal Article] Framed curves in the Euclidean space2016
- Author(s)
  Shun'ichi HOnda and Masatomo Takahashi
- Journal Title
  
  Adv. Geom.
  
  Volume: 16 Issue: 3 Pages: 265-276
- DOI
  10.1515/advgeom-2015-0035
- NAID
  120006313431
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26287009, KAKENHI-PROJECT-26400078
[Journal Article] Envelopes of Legendre curves in the unit tangent bundle over the Euclidean plane2016
- Author(s)
  Masatomo Takahashi
- Journal Title
  
  Results in Mathematics
  
  Volume: 印刷中 Issue: 3-4 Pages: 1473-1489
- DOI
  10.1007/s00025-016-0619-7
- NAID
  120006529865
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400078, KAKENHI-PROJECT-17K05238, KAKENHI-PROJECT-26287009
[Journal Article] D_n-geometry and singularities of tangent surfaces2016
- Author(s)
  G. Ishikawa, Y. Machida, M. Takahashi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: 未定
- NAID
  120006459747
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15H03615
[Journal Article] Singularities of tangent surfaces in Cartan's split G2-geometry2016
- Author(s)
  Goo Ishikawa, Yoshinori Machida, Masatomo Takahashi
- Journal Title
  
  Asian Journal of Mathematics
  
  Volume: 20 Issue: 2 Pages: 353-382
- DOI
  10.4310/ajm.2016.v20.n2.a6
- NAID
  120006459711
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400078, KAKENHI-PROJECT-15K13431, KAKENHI-PROJECT-15H03615, KAKENHI-PROJECT-26287009
[Journal Article] Legendre curves in the unit spherical bundle over the unit sphere and evolutes2016
- Author(s)
  Masatomo Takahashi
- Journal Title
  
  Contemporary Mathematics
  
  Volume: 675 Pages: 337-355
- DOI
  10.1090/conm/675/13600
- NAID
  120006529906
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400078
[Journal Article] Dualities and evolutes of fronts in hyperbolic 2-space and de Sitter 2-space2016
- Author(s)
  Liang Chen, Masatomo Takahashi
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 437 Issue: 1 Pages: 133-159
- DOI
  10.1016/j.jmaa.2015.12.029
- NAID
  120006459761
- Peer Reviewed / Acknowledgement Compliant / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400078
[Journal Article] Dn-geometry and singularities of tangent surfaces2016
- Author(s)
  Goo Ishikawa, Yoshinori Machida, Masatomo Takahashi
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B55 Pages: 67-87
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400078
[Journal Article] Involutes of fronts in the Euclidean plane2015
- Author(s)
  Tomonori Fukunaga, Masatomo Takahashi
- Journal Title
  
  Beitrage zur Algebra und Geometrie
  
  Volume: 印刷中 Issue: 3 Pages: 637-653
- DOI
  10.1007/s13366-015-0275-1
- NAID
  120005844818
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400078, KAKENHI-PROJECT-15K17547
[Journal Article] Evolutes and Involutes of frontals in the Euclidean plane2015
- Author(s)
  Tomonori Fukunaga and Masatomo Takahashi
- Journal Title
  
  Demonstr. Math.
  
  Volume: 48 Issue: 2 Pages: 147-166
- DOI
  10.1515/dema-2015-0015
- NAID
  120006459741
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26287009
[Journal Article] Evolutes and involutes of frontals in the Euclidean plane2015
- Author(s)
  Tomonori Fukunaga, Masatomo Takahashi
- Journal Title
  
  Demonstratio Mathematica
  
  Volume: 48 Issue: 2 Pages: 147-166
- DOI
  10.1515/dema-2015-0013
- NAID
  120006459741
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400078
[Journal Article] Geometry of D4 conformal triality and singularities of tangent surfaces2015
- Author(s)
  Goo Ishikawa, Yoshinori Machida, Masatomo Takahashi
- Journal Title
  
  Journal of Singularities
  
  Volume: 12 Pages: 27-52
- DOI
  10.5427/jsing.2015.12c
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400078, KAKENHI-PROJECT-15K13431, KAKENHI-PROJECT-15H03615
[Journal Article] Geometry of D_4 conformal triality and sibgularities of tangent surfaces2014
- Author(s)
  待田芳徳、石川剛郎、高橋雅朋
- Journal Title
  
  Hokkaido Univ. EPrints Server
  
  Volume: 1051 Pages: 1-25
- Data Source
  KAKENHI-PROJECT-22540109
[Journal Article] Evolutes of fronts in the Euclidean plane2014
- Author(s)
  Tomonori Fukunaga and Masatomo Takahashi
- Journal Title
  
  Journal of Singularities
  
  Volume: 10 Pages: 92-107
- DOI
  10.5427/jsing.2014.10f
- NAID
  120006459717
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26287009, KAKENHI-PROJECT-26400078
[Journal Article] Classifications of completely integrable implicit second order ordinary differential equations2014
- Author(s)
  Masatomo Takahashi
- Journal Title
  
  Journal of Singularities
  
  Volume: 10 Pages: 271-285
- DOI
  10.5427/jsing.2014.10s
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400078
[Journal Article] Existence and uniqueness for Legendre curves2013
- Author(s)
  T. Fukunaga, M. Takahashi
- Journal Title
  
  Journal of Geometry
  
  Volume: Vol. 104 Issue: 2 Pages: 297-307
- DOI
  10.1007/s00022-013-0162-6
- NAID
  120005463956
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740041
[Journal Article] Completely integrable implicit ordinary differential equations2012
- Author(s)
  Masatomo Takahashi
- Journal Title
  
  Yokohama Mathematical Journal
  
  Volume: Vol. 58 Pages: 17-29
- NAID
  120006459658
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740041
[Journal Article] Singularities of tangent surfaces in Caetan's split G_2-geometry2012
- Author(s)
  待田芳徳、石川剛郎、高橋雅朋
- Journal Title
  
  Hokkaido Univ. EPrints Server
  
  Volume: 1020 Pages: 1-26
- Data Source
  KAKENHI-PROJECT-22540109
[Journal Article] Pedal foliations and Gauss maps of hypersurfaces in Euclidean space2012
- Author(s)
  Shyuichi Izumiya, Masatomo Takahashi
- Journal Title
  
  Journal of Singularities
  
  Volume: 6 Pages: 84-97
- DOI
  10.5427/jsing.2012.6g
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340011, KAKENHI-PROJECT-23740041
[Journal Article] On caustics of submanifolds and canal hypersurfaces in Euclidean space2012
- Author(s)
  Shyuichi Iziumiya and Masatomo Takahash
- Journal Title
  
  Topology and its Applications
  
  Volume: 159(2) Issue: 2 Pages: 509-518
- DOI
  10.1016/j.topol.2011.09.025
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21654007, KAKENHI-PROJECT-23740041
[Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011
- Author(s)
  待田芳徳、石川剛郎、高橋雅朋
- Journal Title
  
  J. Singularities
  
  Volume: 3 Pages: 126-143
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540109
[Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendrenull duality2011
- Author(s)
  待田芳徳, 石川剛郎, 高橋雅朋
- Journal Title
  
  Journal of Singularities
  
  Volume: 3 Pages: 126-143
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22540109
[Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011
- Author(s)
  G. Ishikawa, Y. Machida, M. Takahashi
- Journal Title
  
  Journal of Singularities
  
  Volume: Vol. 3 Pages: 126-143
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740041
[Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011
- Author(s)
  G.Ishikawa, Y.Machida, M.Takahashi
- Journal Title
  
  Journal of Singularities
  
  Volume: 3 Pages: 126-143
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030
[Journal Article] Asymmetry in singularities of tangent surfaces in contact-cone Legendre-null duality2011
- Author(s)
  G. Ishikawa, Y. Machida, M. Takahashi
- Journal Title
  
  Journal of Singularities
  
  Volume: vol.3 Pages: 126-143
- URL
  http://www.journalofsing.org/volume3/index.html
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340030
[Journal Article] A sufficient condition that contact equivalence implies right equivalence for smooth function germs.2009
- Author(s)
  Masatomo Takahashi
- Journal Title
  
  Houston Journal of Mathematics Vol.35
  
  Pages: 829-833
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740023
[Journal Article] A sufficient condition that contact equivalence implies right equivalence for smooth function germs2009
- Author(s)
  Masatomo Takahashi
- Journal Title
  
  Houston Journal of Mathematics 35
  
  Pages: 829-833
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740023
[Journal Article] 微分幾何学と特異点論2009
- Author(s)
  高橋雅朋
- Journal Title
  
  数理解析研究所講究録 1623
  
  Pages: 35-53
- Data Source
  KAKENHI-PROJECT-19740023
[Journal Article] Classifications of implict second order ordinary differential equations of Clairaut type2008
- Author(s)
  待田芳徳、高橋雅朋
- Journal Title
  
  Proc. Royal Soc. Edinburgh 138
  
  Pages: 821-842
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540105
[Journal Article] Classifications of implicit second order ordinary differential equations of Clairaut type.2008
- Author(s)
  Y.Machida, M.Takahashi
- Journal Title
  
  The Royal Society of Edinburgh Proceedings A (Mathematics) Vol.138
  
  Pages: 821-842
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740023
[Journal Article] Caustics and wave front propagations: applications to differential geometry.Banach Center Publications.2008
- Author(s)
  S.Izumiya, M.Takahashi
- Journal Title
  
  Geometry and topology of caustics Vol.82
  
  Pages: 125-142
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740023
[Journal Article] Classifications of implicit second order ordinary differential equations of Clairaut type2008
- Author(s)
  待田芳徳、高橋雅朋
- Journal Title
  
  Proc. Royal Soc. Edinburgh 138
  
  Pages: 821-842
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540105
[Journal Article] On implicit second order ordinary differential equations : Completely integrable and Clairaut type2007
- Author(s)
  Masatomo Takahashi
- Journal Title
  
  Journal of Dynamical and Control Systems (To appear)
- Data Source
  KAKENHI-PROJECT-18840001
[Journal Article] On completely integrable first order ordinary differential equations.2007
- Author(s)
  Masatomo Takahashi
- Journal Title
  
  Proceedings of the Australian-Japanese Workshop on Real and Complex singularities
  
  Pages: 388-418
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740023
[Journal Article] On implicit second order ordinary differential equations: Completely integrable and Clairaut type.2007
- Author(s)
  M.Takahashi
- Journal Title
  
  Journal of Dynamical and Control Systems Vol.13
  
  Pages: 273-288
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740023
[Journal Article] Spacelike Parallels and Evolutes in Minkowski pseudo-spheres.2007
- Author(s)
  S.Izumiya, M.Takahashi
- Journal Title
  
  Journal of Geometry and Physics Vol.57
  
  Pages: 1569-1600
- NAID
  120000966673
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740023
[Journal Article] On complete solutions and complete singular solutions of second order ordinary differential equations.2007
- Author(s)
  Masatomo Takahashi
- Journal Title
  
  Colloquium Mathematicum Vol.109
  
  Pages: 271-285
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740023
[Journal Article] On complete solutions and complete singular solutions of second order ordinary differential equations2007
- Author(s)
  Masatomo Takahashi
- Journal Title
  
  Colloquium Mathematicum 109
  
  Pages: 271-285
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740023
[Journal Article] On completely integrable first order ordinary differential equations2007
- Author(s)
  Masatomo Takahashi
- Journal Title
  
  Proceedings of the Australian-Japanese Workshop on Real and Complex singularities (To appear)
- Data Source
  KAKENHI-PROJECT-18840001
[Journal Article] Singularities of smooth mappings with patterns.2007
- Author(s)
  K.Saji, M.Takahashi
- Journal Title
  
  Proceedings of the Royal Society of Edinburgh Proceedings A (Mathematics) Vol.137
  
  Pages: 415-430
- NAID
  120006459461
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740023
[Journal Article] On complete solutions and complete singular solutions of second order ordinary differential equations2007
- Author(s)
  Masatomo Takahashi
- Journal Title
  
  Colloquium Mathematicum (To appear)
- Data Source
  KAKENHI-PROJECT-18840001
[Journal Article] Folding maps on spacelike and timelike surfaces and duality.
- Author(s)
  S.Izumiya, M.Takahashi, F.Tari
- Journal Title
  
  To appear in Osaka Journal of Mathematics
- NAID
  120002795274
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740023
[Journal Article] Horospherical flat surfaces in Hyperbolic 3-space.
- Author(s)
  S.Izumiya, K.Saji, M.Takahashi
- Journal Title
  
  To appear in Journal of the Mathematical Society of Japan
- NAID
  10027870826
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] On vertices of frontals in the Euclidean plane2023
- Author(s)
  Masatomo Takahashi
- Organizer
  WORKSHOP on Algebraic and Analytic Singularities
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03573
[Presentation] On generalised framed surfaces in the Euclidean 3-space2023
- Author(s)
  Masatomo Takahashi
- Organizer
  Singularities of Differentiable Maps and Its applications
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K03573
[Presentation] 枠付き曲面の測地線について2023
- Author(s)
  高橋　雅朋
- Organizer
  可微分写像の特異点論とその応用
- Invited
- Data Source
  KAKENHI-PROJECT-20K03573
[Presentation] 枠付き曲面の測地線について2022
- Author(s)
  高橋　雅朋
- Organizer
  位相幾何・微分幾何及びその周辺分野への特異点論の応用
- Invited
- Data Source
  KAKENHI-PROJECT-20K03573
[Presentation] Envelopes of families of framed surfaces and singular solutions of first order partial differential equations2019
- Author(s)
  Takahashi Masatomo
- Organizer
  6th International Workshop on Singularities in Generic Geometry and its Application
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05238
[Presentation] １階クレロー型方程式の特異解の特異点について2019
- Author(s)
  高橋　雅朋
- Organizer
  室蘭研究会2019
- Data Source
  KAKENHI-PROJECT-17K05238
[Presentation] Singularities of envelopes for first order differential equations of Clairaut type2019
- Author(s)
  Takahashi Masatomo
- Organizer
  Singularity Theory and its Applications in Differential Equations and Differential Geometry
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05238
[Presentation] Bertrand and Mannheim curves of framed curves in the 3-dimensional Euclidean space2019
- Author(s)
  高橋　雅朋
- Organizer
  特異点論による空間研究
- Data Source
  KAKENHI-PROJECT-17K05238
[Presentation] アファイン曲線論再考2019
- Author(s)
  高橋雅朋
- Organizer
  幾何学と特異点２０１９
- Invited
- Data Source
  KAKENHI-PROJECT-17K05238
[Presentation] Envelopes of families of Legendre mappings in the unit tangent bundle over the Euclidean space2018
- Author(s)
  Masatomo Takahashi
- Organizer
  15th International Workshop on Real and Complex Singularities
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05238
[Presentation] Framed surfaces: smooth surfaces with singular points2017
- Author(s)
  Masatomo Takahashi
- Organizer
  Singularities and Differential Geometry in Changchun 2017
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05238
[Presentation] Framed surfaces: smooth surfaces with singular points2017
- Author(s)
  Masatomo Takahashi
- Organizer
  Singularities and Differential Geometry in Changchun 2017
- Place of Presentation
  Northeast Normal University, Changchun, China
- Year and Date
  2017-03-04
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400078
[Presentation] ラグランジュ部分多様体とグラフ型ルジャンドル部分多様体2017
- Author(s)
  高橋雅朋
- Organizer
  第６４回トポロジーシンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-17K05238
[Presentation] ルジャンドル写像族に対する包絡面とその応用2017
- Author(s)
  高橋雅朋
- Organizer
  日本数学会北海道支部講演会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05238
[Presentation] ルジャンドル曲線族の包絡線2016
- Author(s)
  高橋　雅朋
- Organizer
  研究集会「幾何学と特異点」
- Place of Presentation
  東京学芸大学（東京都小金井市）
- Year and Date
  2016-03-03
- Data Source
  KAKENHI-PROJECT-26400078
[Presentation] Evolutes of curves in the Lorentz-Minkowski plane2016
- Author(s)
  Masatomo Takahashi
- Organizer
  8th International Meeting on Lorentzian Geometry
- Place of Presentation
  Universidad de Malaga, Malaga, Spain
- Year and Date
  2016-09-22
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-26400078
[Presentation] ルジャンドル曲線の１パラメータ族と包絡線2016
- Author(s)
  高橋　雅朋
- Organizer
  第２３回沼津研究集会
- Place of Presentation
  沼津高専（静岡県沼津市）
- Year and Date
  2016-03-09
- Invited
- Data Source
  KAKENHI-PROJECT-26400078
[Presentation] 特異点を持つ曲線について2016
- Author(s)
  高橋　雅朋
- Organizer
  幾何学発表会および講演会
- Place of Presentation
  東京学芸大学（東京都小金井市）
- Year and Date
  2016-03-02
- Invited
- Data Source
  KAKENHI-PROJECT-26400078
[Presentation] 球面ルジャンドル曲線と縮閉線2015
- Author(s)
  高橋　雅朋
- Organizer
  接触構造、特異点、微分方程式及びその周辺
- Place of Presentation
  旭川市ときわ市民ホール（北海道旭川市）
- Year and Date
  2015-01-23
- Invited
- Data Source
  KAKENHI-PROJECT-26400078
[Presentation] 枠付き曲線と縮閉線2015
- Author(s)
  高橋　雅朋
- Organizer
  第２２回沼津研究集会
- Place of Presentation
  沼津高専（静岡県沼津市）
- Year and Date
  2015-03-10
- Invited
- Data Source
  KAKENHI-PROJECT-26400078
[Presentation] Singularities of curves2014
- Author(s)
  Masatomo Takahashi
- Organizer
  Workshop on Singularities, Geometry, Topology and Related Topics
- Place of Presentation
  Northeast Normal University, Changchun, China
- Year and Date
  2014-09-01
- Invited
- Data Source
  KAKENHI-PROJECT-26400078
[Presentation] Evolutes of curves in the Lorentz-Minkowski plane2014
- Author(s)
  Masatomo Takahashi
- Organizer
  13th International Workshop on Real and Complex Singularities
- Place of Presentation
  ICMC-USP, Sao Carlos, Brazil
- Year and Date
  2014-07-31
- Data Source
  KAKENHI-PROJECT-26400078
[Presentation] フロンタルの縮閉線と伸開線について2014
- Author(s)
  高橋雅朋
- Organizer
  第21回沼津研究集会
- Place of Presentation
  沼津高専
- Year and Date
  2014-03-08
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] Evolutes and involutes of fronts in the Euclidean plane, Geometric Singularity Theory2013
- Author(s)
  Masatomo Takahashi
- Organizer
  Polish-Japanese Singularity Theory Working Days
- Place of Presentation
  Banach Center, Warsaw (Polish)
- Year and Date
  2013-08-29
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] 縮閉線と伸開線について2013
- Author(s)
  高橋雅朋
- Organizer
  第21回沼津研究集会
- Place of Presentation
  沼津高専
- Year and Date
  2013-03-07
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] On Legendre curves2012
- Author(s)
  高橋雅朋
- Organizer
  可微分写像の特異点論とその応用
- Place of Presentation
  日本大学文理学部
- Year and Date
  2012-11-30
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] Completely integrable first order ordinary differential equations2012
- Author(s)
  Masatomo Takahashi
- Organizer
  An international workshop in Singularity Theory, its Applications and Future Prospects
- Place of Presentation
  University of Liverpool
- Year and Date
  2012-06-21
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] Evolutes of fronts in the Euclidean plane2012
- Author(s)
  高橋雅朋
- Organizer
  数理研研究集会「特異点論の真髄の探求」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2012-11-30
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] Singularities of smooth mappings with patterns2012
- Author(s)
  Masatomo Takahashi
- Organizer
  2012 Spring Western Section Meeting
- Place of Presentation
  University of Hawaii
- Year and Date
  2012-03-03
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] 特異点論と常微分方程式の定性理論(1)(2)2011
- Author(s)
  高橋雅朋
- Organizer
  広島幾何学研究集会2011
- Place of Presentation
  広島大学
- Year and Date
  2011-10-06
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] 常微分方程式の定性理論の構築2011
- Author(s)
  高橋雅朋
- Organizer
  室蘭夏の学校
- Place of Presentation
  室蘭工業大学
- Year and Date
  2011-08-29
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] Generic classifications of first order multi-Clairaut type2011
- Author(s)
  Masatomo Takahashi
- Organizer
  Workshop on Singularities in Geometry and Applications
- Place of Presentation
  Bedlewo (Polish)
- Year and Date
  2011-05-20
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] Generic classifications of first order multi-Clairaut type2011
- Author(s)
  Masatomo Takahashi
- Organizer
  Workshop on Singularities in Geometry and Applications
- Place of Presentation
  Poland (Bedlewo)
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] 特異点論と常微分方程式の定性理論(1)(2)2011
- Author(s)
  高橋　雅朋
- Organizer
  広島幾何学研究集会2011(招待講演)
- Place of Presentation
  広島大学
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] Completely integrable implicit ordinary differential equations2009
- Author(s)
  Masatomo Takahashi
- Organizer
  1st Workshop on Singularities in Generic Geometry and Applications
- Place of Presentation
  Spain (Valencia)
- Year and Date
  2009-03-27
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] On caustics of surfaces and canal hypersurfaces2009
- Author(s)
  高橋雅朋
- Organizer
  可微分写像の特異点論とそれに関連する幾何学
- Place of Presentation
  日本大学文理学部
- Year and Date
  2009-12-09
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] Completely integrable implicit ordinary differential equations2009
- Author(s)
  Masatomo Takahashi
- Organizer
  1st Workshop on Singularities in Generic Geometry and Applications
- Place of Presentation
  Valencia, Spain
- Year and Date
  2009-03-27
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] 常微分方程式と特異点II2009
- Author(s)
  高橋雅朋
- Organizer
  Symplectic Geometryとその周辺
- Place of Presentation
  岐阜経済大学
- Year and Date
  2009-11-26
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] Existence of geometric solutions for implicit ordinary differential equations2008
- Author(s)
  高橋雅朋
- Organizer
  日本数学会
- Place of Presentation
  近畿大学
- Year and Date
  2008-03-25
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] Duality and horospherical flat surfaces in hyperbolic 3-space2008
- Author(s)
  高橋雅朋
- Organizer
  微分多様体と微分幾何学およびその周辺領域の研究
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-06-24
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] Completely integrable implicit ordinary differential equations2008
- Author(s)
  Masatomo Takahashi
- Organizer
  10th International Workshop on Real and Complex Singularities
- Place of Presentation
  Brazil (ICMC-USP, Sao Carlos)
- Year and Date
  2008-07-30
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] Duality and horospherical flat surfaces in hyperbolic 3-space2008
- Author(s)
  高橋雅朋
- Organizer
  部分多様体の微分幾何学およびその周辺領域の研究
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-06-24
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] Completely integrable implicit ordinary differential equations2008
- Author(s)
  Masatomo Takahashi
- Organizer
  10th International Workshop on Real and Complex Singularities
- Place of Presentation
  ICMC-USP, Sao Carlos, Brazil
- Year and Date
  2008-07-30
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] On implicit ordinary differential equations2007
- Author(s)
  Masatomo Takahashi
- Organizer
  10th International Conference on Differential Geometry and its Applications
- Place of Presentation
  Czech Republic (Olomouc)
- Year and Date
  2007-08-27
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] 常微分方程式と特異点2007
- Author(s)
  高橋雅朋
- Organizer
  Symplectic Geometryとその周辺
- Place of Presentation
  岐阜経済大学
- Year and Date
  2007-11-14
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] On implicit ordinary differential equations2007
- Author(s)
  Masatomo Takahashi
- Organizer
  10th International Conference on Differential Geometry and its Applications
- Place of Presentation
  Olomouc, Czech Republic
- Year and Date
  2007-08-27
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] 常微分方程式と特異点2007
- Author(s)
  高橋雅朋
- Organizer
  Symplectic Geometry とその周辺
- Place of Presentation
  岐阜経済大学
- Year and Date
  2007-11-14
- Data Source
  KAKENHI-PROJECT-19740023
[Presentation] Evolutes and involutes of fronts in the Euclidean plane
- Author(s)
  Masatomo Takahashi
- Organizer
  Geometric Singularity Theory. Polish-Japanese Singularity Theory Working Days
- Place of Presentation
  Banach Center, Warsaw, Polish
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] On Legendre curves
- Author(s)
  高橋　雅朋
- Organizer
  可微分写像の特異点論とその応用
- Place of Presentation
  日本大学文理学部
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] フロンタルの縮閉線と伸開線について
- Author(s)
  高橋　雅朋
- Organizer
  第２１回沼津研究集会
- Place of Presentation
  沼津高專（静岡県、沼津市）
- Invited
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] 縮閉線と伸開線について
- Author(s)
  高橋　雅朋
- Organizer
  第２０回沼津研究集会
- Place of Presentation
  沼津高専
- Invited
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] Evolutes of fronts in the Euclidean plane
- Author(s)
  高橋　雅朋
- Organizer
  数理研研究集会「特異点論の真髄の探求」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23740041
[Presentation] Completely integrable first order ordinary differential equations
- Author(s)
  Masatomo Takahashi
- Organizer
  An international workshop in Singularity Theory, its Applications and Future Prospects
- Place of Presentation
  University of Liverpool, United Kingdom
- Data Source
  KAKENHI-PROJECT-23740041

1. ISHIKAWA Goo (50176161)

# of Collaborated Projects: 6 results

# of Collaborated Products: 7 results
2. MACHIDA Yoshinori (90141895)

# of Collaborated Projects: 4 results

# of Collaborated Products: 9 results
3. MORIMOTO Tohru (80025460)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. FUJII Kazuyuki (00128084)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. 佐治健太郎 (70451432)

# of Collaborated Projects: 3 results

# of Collaborated Products: 1 results
6. SATO Hajime (30011612)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. IZUMIYA Shyuichi (80127422)

# of Collaborated Projects: 2 results

# of Collaborated Products: 2 results
8. SAITO Sachiko (40260400)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. KITAGAWA Yumiko (40403323)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. 大本亨 (20264400)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. YAMAGUCHI Keizo (00113639)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. SAITO Mutsumi (70215565)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. TANABE Susumu (90432997)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. TONEGAWA Yoshihiro (80296748)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. ONO Kaoru (20204232)

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
16. UMEHARA Masaki (90193945)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. KOIKE Shigeaki (90205295)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 寺尾宏明 (90119058)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 澁谷一博 (00569832)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 三松佳彦 (70190725)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 寺本圭佑 (10830002)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. Janeczko Stanislaw

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Takahashi Masatomo 高橋 雅朋

TAKAHASHI Masatomo 高橋 雅朋

Research Projects

Research Products

Co-Researchers

Theory of generalised framed surfaces and application to Lorentz-Minkowski spacePrincipal Investigator

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Cross-disciplinary fusion of singular phenomena by singularity theory

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Theory of framed curves, framed surfaces and its applicationsPrincipal Investigator

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Study on surfaces with singular points and singularity theoryPrincipal Investigator

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Developments and applications of geometric singularity theory

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Geometric studies on singularity of non-linear phenomena

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Singularity theory of differential geometry and its applicationPrincipal Investigator

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Applications to differential geometry and singularity theory of differential equationsPrincipal Investigator

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The synthetic study by real algebraic geometry, from sub-Riemannian geometry to tropical geometry

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Study on relations between differential equations and geometric structures by the method of twistor theory

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Correlation between differential equations, geometric structures, and twistor theory

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Duality of differential equations and differential geometry from the view point of singularity theoryPrincipal Investigator

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微分方程式と微分幾何学の特異点論的研究Principal Investigator

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Takahashi Masatomo 高橋雅朋

TAKAHASHI Masatomo 高橋雅朋