ANDO NAOYA 安藤直也

… Alternative Names

Ando Naoya 安藤直也

ANDO Naoya 安藤直也

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Researcher Number	50359965
Other IDs
Affiliation (Current)	2026: 熊本大学, 大学院先端科学研究部(理), 教授
Affiliation (based on the past Project Information) *help	2017 – 2024: 熊本大学, 大学院先端科学研究部(理), 准教授 2012 – 2014: 熊本大学, 自然科学研究科, 准教授 2007 – 2011: Kumamoto University, 大学院・自然科学研究科, 准教授 2006: 熊本大学, 大学院自然科学研究科, 助教授 2005: 熊本大学, 理学部, 助教授 2003 – 2005: 熊本大学, 理学部, 講師
Review Section/Research Field	Principal Investigator Geometry / Basic Section 11020:Geometry-related Except Principal Investigator Global analysis / Geometry
Keywords	Principal Investigator 主分布 / 曲率線 / 共形Gauss写像 / 過剰決定系 / 整合条件 / 極小曲面 / Willmore曲面 / 測地線 / 臍点 / 複素4次微分 … More / 光錐 / Gauss写像 / ツイスター・リフト / 等方性 / 複素曲線 / 平均曲率ベクトルが零 / 曲面 / 準曲面 / 優決定系 / 主方向平行曲面 / Codazzi-Mainardi多項式 / 準曲面(構造) / 第一基本形式 / 共変微分 / 光的曲面 / 光的2次元分布 / 概べき零構造 / 光的ツイスター空間 / 4次元ニュートラル多様体 / 孤立臍点 / Ribaucour's reduction / 等方的パラKahler多様体 / Walker多様体 / パラ複素構造 / SO(3,1)軌道 / 4次元Minkowski空間 / パラ正則4次微分 / 時間的曲面 / 4次元ニュートラル空間形 / 線形従属条件 / 法接続 / 位相的ホロノミー群 / ニュートラル超Kahler構造 / Walker条件 / べき零構造 / 平均曲率ベクトル / 正則はめこみ / (-k)-写像 / Hopf４次微分 / Willmore型曲面 / 等方的 / ニュートラル多様体 / Gauss-Codazzi-Ricciの方程式 / Willmore型の時間的曲面 / 共変微分が光的 / (パラ)複素4次微分 / (ニュートラル)超Kaehler多様体 / 水平な切断 / ツイスター空間 / 階数4のベクトル束 / 混合型構造 / 4次元Lorentz多様体 / ニュートラル超Kaehler / 2重外積空間 / 正則 / リフト / Minkowski空間 / 正則4次微分 / 零平均曲率ベクトル / 一定平均曲率 / 光的な法ベクトル場 / 平均曲率ベクトル（が零である） / ４次元de Sitter空間 / 多項式型の過剰決定系 / 球面Schwarz写像 / アファインSchwarz写像 / 正則３次微分 / Hartman-Wintnerの定理 / 非等方的平均曲率一定曲面 / 双曲型偏微分方程式 / Hopf微分 / 平坦な計量 / Loewnerの予想 / 指数予想 / Hessian / 主方向 / 多項式型 / 優決定系(過剰決定系) / 平坦な曲面 / 一般化されたRicci条件 / 平均曲率-定曲面 / 標準的前発散 / sinh-Gordon方程式 / Liouvilleの方程式 / molding surface / 測地的曲率 / 平均曲率一定曲面 / 主曲率関数 / 共形的Gauss写像 / 標準的な前発散 / Codazzi-Mainardiの方程式 / H分布 / 生成対 / (標準的な)主方向並行曲面 / 準曲面構造 … More Except Principal Investigator アメリカ合衆国 / unduloid / アメリカ合衆国 : ブラジル / 国際研究者交流 / ウルフ図形 / Wulff図形 / 平均曲率一定曲面 / 非等方的平均曲率一定曲面 / 非等方的表面エネルギー / Delaunay曲面 / capillary surface / 変分問題 / 変分法 / モジュライ空間 / 可積分系 / 曲面 / 極小部分多様体 / 調和写像 / 部分多様体 / 微分幾何学 / 幾何学 / (A)微分幾何 Less

Complex quartic differentials on surfacesPrincipal Investigator
- Principal Investigator
  
  安藤直也
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Kumamoto University
Principal distributions on surfaces in various spacesPrincipal Investigator
- Principal Investigator
  
  Ando Naoya
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Kumamoto University
Global studies of principal distributions on surfaces and researches of principal distributions on various submanifoldsPrincipal Investigator
- Principal Investigator
  
  ANDO Naoya
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kumamoto University
Researches of principal distributions and over-determined systems on surfacesPrincipal Investigator
- Principal Investigator
  
  ANDO Naoya
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kumamoto University
Research on stability and global properties of solutions of geometric variational problems
- Principal Investigator
  
  KOISO Miyuki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Nara Women's University
The relation between an intrinsic property and an extrinsic property of a submanifoldPrincipal Investigator
- Principal Investigator
  
  ANDO Naoya
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kumamoto University
Research on Submanifold Theory via Infinite Dimensional Methods
- Principal Investigator
  
  OHNITA Yoshihiro
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Geometry
- Research Institution
  Osaka City University
曲面上の主分布および主曲率関数の振る舞い(外在的な性質と内在的な性質の関係)Principal Investigator
- Principal Investigator
  
  安藤直也
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Kumamoto University

[Book] Willmore曲面について第２巻2014
- Author(s)
  中内伸光編集、加藤信、守屋克洋、安藤直也著
- Total Pages
  86
- Publisher
  山口大学理学部数理科学科
- Data Source
  KAKENHI-PROJECT-24740048
[Book] Willmore曲面について (このうち「Willmore球面について」を安藤が担当)2013
- Author(s)
  中内伸光編集、守屋克洋、安藤直也、川上裕共著
- Total Pages
  39
- Publisher
  山口大学理学部数理科学科
- Data Source
  KAKENHI-PROJECT-24740048
[Book] Willmore予想およびWillmore曲面について2012
- Author(s)
  安藤直也
- Total Pages
  53
- Publisher
  山口大学理学部数理科学科
- Data Source
  KAKENHI-PROJECT-24740048
[Journal Article] THE SO(3,1)-ORBITS IN THE LIGHT CONE OF THE 2-FOLD EXTERIOR POWER OF THE MINKOWSKI 4-SPACE2025
- Author(s)
  ANDO Naoya
- Journal Title
  
  Modern Approaches to Differential Geometry and its Related Fields, Proceedings of the 7th International Colloquium on Differential Geometry and its Related Fields
  
  Volume: - Pages: 17-31
- DOI
  10.1142/9789811296710_0002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03228
[Journal Article] Time-like surfaces with zero mean curvature vector in four-dimensional neutral space forms2024
- Author(s)
  Naoya Ando
- Journal Title
  
  Proceedings of the International Geometry Center
  
  Volume: 17 Pages: 36-55
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K03228
[Journal Article] Correction to: Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector2023
- Author(s)
  Ando Naoya
- Journal Title
  
  Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
  
  Volume: 93 Issue: 2 Pages: 163-166
- DOI
  10.1007/s12188-023-00272-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03228
[Journal Article] Umbilics of Surfaces in the Lorentz-Minkowski 3-Space2023
- Author(s)
  Ando Naoya, Umehara Masaaki
- Journal Title
  
  Results in Mathematics
  
  Volume: 78 Issue: 6
- DOI
  10.1007/s00025-023-02013-2
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K03228, KAKENHI-PROJECT-23K20794
[Journal Article] The lifts of surfaces in neutral 4-manifolds into the 2-Grassmann bundles2023
- Author(s)
  Ando Naoya
- Journal Title
  
  Differential Geometry and its Applications
  
  Volume: 91 Pages: 102073-102073
- DOI
  10.1016/j.difgeo.2023.102073
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03228
[Journal Article] Regularity of ends of zero mean curvature surfaces in \mathbf{R}^{2, 1}2022
- Author(s)
  Ando Naoya, Hamada Kohei, Hashimoto Kaname, Kato Shin
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05221
[Journal Article] Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector2022
- Author(s)
  Ando Naoya
- Journal Title
  
  Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg
  
  Volume: 未定 Issue: 1 Pages: 105-123
- DOI
  10.1007/s12188-021-00254-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05221
[Journal Article] ISOTROPICITY OF SURFACES WITH ZERO MEAN CURVATURE VECTOR IN 4-DIMENSIONAL SPACES2022
- Author(s)
  ANDO Naoya
- Journal Title
  
  New Horizons in Differential Geometry and its Related Fields
  
  Volume: - Pages: 177-191
- DOI
  10.1142/9789811248108_0011
- ISBN
  9789811248092, 9789811248108
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05221
[Journal Article] Nilpotent structures of neutral 4-manifolds and light-like surfaces2022
- Author(s)
  Naoya Ando
- Journal Title
  
  Springer Proceedings in Mathematics & Statistics ---Developments in Lorentzian Geometry---
  
  Volume: 389 Pages: 13-28
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03228
[Journal Article] Nilpotent structures of neutral 4-manifolds and light-like surfaces2022
- Author(s)
  Ando Naoya
- Journal Title
  
  Springer Proceedings in Mathematics & Statistics
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03228
[Journal Article] Horizontality in the twistor spaces associated with vector bundles of rank 4 on tori2021
- Author(s)
  Naoya Ando and Takumu Kihara
- Journal Title
  
  Journal of Geometry
  
  Volume: 112 Issue: 2
- DOI
  10.1007/s00022-021-00583-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05221
[Journal Article] Isotropicity of surfaces with zero mean curvature vector in 4-dimensional spaces2021
- Author(s)
  Naoya Ando
- Journal Title
  
  New Horizons in Differential Geometry and its Related Fields
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05221
[Journal Article] Surfaces with zero mean curvature vector in neutral 4-manifolds2020
- Author(s)
  Naoya Ando
- Journal Title
  
  Differential Geometry and its Applications
  
  Volume: 72 Pages: 101647-101647
- DOI
  10.1016/j.difgeo.2020.101647
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05221
[Journal Article] SURFACES IN PSEUDO-RIEMANNIAN SPACE FORMS WITH ZERO MEAN CURVATURE VECTOR2020
- Author(s)
  Naoya Ando
- Journal Title
  
  Kodai Math. J.
  
  Volume: 43 Pages: 193-219
- NAID
  130007812084
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05221
[Journal Article] Complex Curves and Isotropic Minimal Surfaces in HyperKaehler 4-Manifolds2019
- Author(s)
  Naoya Ando
- Journal Title
  
  Recent Topics in Differential Geometry and its Related Fields (Proceedings of the 6th International Colloquium on Differential Geometry and its Related Fields)
  
  Volume: - Pages: 45-61
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05221
[Journal Article] Complex curves and isotropic minimal surfaces in hyperKaehler 4-manifolds2019
- Author(s)
  Naoya Ando
- Journal Title
  
  Recent topics in Differential Geometry and its Related Fields
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05221
[Journal Article] Over-determined systems in relation to principal curvatures2017
- Author(s)
  Naoya Ando
- Journal Title
  
  Journal of Geometry
  
  Volume: 108 Issue: 2 Pages: 355-373
- DOI
  10.1007/s00022-016-0343-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05221
[Journal Article] C^1-umbilics with arbitrarily high indices2017
- Author(s)
  N. Ando, T. Fujiyama and M. Umehara
- Journal Title
  
  Pasific Journal of Mathematics
  
  Volume: 288 Issue: 1 Pages: 1-27
- DOI
  10.2140/pjm.2017.288.1
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26247005, KAKENHI-PROJECT-17K05221
[Journal Article] Over-determined systems on surfaces2014
- Author(s)
  Naoya Ando
- Journal Title
  
  ``Differential Geometry of Submanifolds and its Related Topics'', Proceedings of the international Workshop in Honor of S. Maeda's 60th Birthday
  
  Volume: なし Pages: 273-287
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740048
[Journal Article] Hartman-Wintner's theorem and its applications2012
- Author(s)
  Naoya Ando
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: 43 Pages: 389-402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740054
[Journal Article] A surface which has a family of geodesics of curvature2007
- Author(s)
  N. Ando
- Journal Title
  
  Beitraege zur Algebra und Geometrie 48
  
  Pages: 237-250
- Data Source
  KAKENHI-PROJECT-18740034
[Journal Article] A surface which has a family of geodesies of curvature2007
- Author(s)
  N. Ando
- Journal Title
  
  Beitraege zur Algebra und Geometrie 48
  
  Pages: 237-250
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740034
[Journal Article] Semisurfaces and the equations of Codazzi-Mainardi2006
- Author(s)
  N, Ando
- Journal Title
  
  Tsukuba J. Math 30
  
  Pages: 1-30
- NAID
  120005351899
- Data Source
  KAKENHI-PROJECT-18740034
[Journal Article] Semisurfaces and the equations of Codazzi-Mainardi2006
- Author(s)
  Naoya Ando
- Journal Title
  
  Tsukuba J. Math 30
  
  Pages: 1-30
- NAID
  120005351899
- Data Source
  KAKENHI-PROJECT-18740034
[Journal Article] Willmore surfaces in $S^3$ and minimal surfaces in $S^4_1$2005
- Author(s)
  N.Ando
- Journal Title
  
  Kumamoto J.Math. 18
  
  Pages: 57-68
- NAID
  110001189503
- Data Source
  KAKENHI-PROJECT-17204006
[Journal Article] A conjecture in relation to Loewner's conjecture2005
- Author(s)
  Naoya Ando
- Journal Title
  
  Journal of the Mathematical Society of Japan 57
  
  Pages: 1-20
- NAID
  10016419533
- Data Source
  KAKENHI-PROJECT-15740041
[Journal Article] Willmore surfaces in S^3 and minimal surfaces in S^4_12005
- Author(s)
  Naoya Ando
- Journal Title
  
  Kumamoto J.Math. 18
  
  Pages: 57-68
- NAID
  110001189503
- Data Source
  KAKENHI-PROJECT-15740041
[Journal Article] A two-dimensional Riemannian manifold with two one-dimensional distributions2005
- Author(s)
  Naoya Ando
- Journal Title
  
  Kyushu J.Math. 59
  
  Pages: 285-299
- NAID
  110006241292
- Data Source
  KAKENHI-PROJECT-15740041
[Journal Article] An isolated umbilical point of a Willmore surface2004
- Author(s)
  Naoya Ando
- Journal Title
  
  Osaka Journal of Mathematics 41
  
  Pages: 865-876
- NAID
  120005986905
- Data Source
  KAKENHI-PROJECT-15740041
[Journal Article] Parallel curved surfaces2004
- Author(s)
  Naoya Ando
- Journal Title
  
  Tsukuba Journal of Mathematics 28
  
  Pages: 223-243
- NAID
  120001870165
- Data Source
  KAKENHI-PROJECT-15740041
[Journal Article] A surface which has a family of geodesics of curvature
- Author(s)
  Naoya Ando
- Journal Title
  
  Beitraege zur Algebra und Geometrie (未定)
- Data Source
  KAKENHI-PROJECT-18740034
[Journal Article] Semisurfaces and the equations of Codazzi-Mainardi
- Author(s)
  Naoya Ando
- Journal Title
  
  Tsukuba J.Math. (未定)
- NAID
  120005351899
- Data Source
  KAKENHI-PROJECT-15740041
[Journal Article] A two-dimensional Riemannian manifold with two one-dimensional distributions
- Author(s)
  Naoya Ando
- Journal Title
  
  Kyushu Journal of Mathematics (未定)
- NAID
  110006241292
- Data Source
  KAKENHI-PROJECT-15740041
[Journal Article] Willmore surfaces in S^3 and minimal surfaces in S^4_1
- Author(s)
  Naoya Ando
- Journal Title
  
  Kumamoto Journal of Mathematics (未定)
- NAID
  110001189503
- Data Source
  KAKENHI-PROJECT-15740041
[Journal Article] Hartman-Wintner's theorem and its applications
- Author(s)
  Naoya Ando
- Journal Title
  
  Calculus of Variations and Partial Differential Equations
  
  Volume: (未定 in press)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] トーラス上のベクトル束における位相的ホロノミー群2025
- Author(s)
  安藤直也
- Organizer
  日本数学会2025年度年会幾何学分科会
- Data Source
  KAKENHI-PROJECT-21K03228
[Presentation] ４次元空間形内の法接続が平坦な曲面について ---平行な法ベクトル場を持つ場合---2025
- Author(s)
  安藤直也
- Organizer
  名工大幾何学講演会2025
- Invited
- Data Source
  KAKENHI-PROJECT-21K03228
[Presentation] Paracomplex structures and nilpotent structures2024
- Author(s)
  Naoya Ando
- Organizer
  The 8th meeting ICDG2024 "Geometry Days --- TUIASI 2024"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03228
[Presentation] トーラス上のツイスター空間の水平性について2024
- Author(s)
  安藤直也
- Organizer
  第4回SAGセミナー
- Data Source
  KAKENHI-PROJECT-21K03228
[Presentation] ４次元ニュートラル空間形内の零平均曲率ベクトルを持つ時間的曲面について2024
- Author(s)
  安藤直也
- Organizer
  千里山幾何学研究会
- Invited
- Data Source
  KAKENHI-PROJECT-21K03228
[Presentation] Nilpotent structures of oriented neutral vector bundles2024
- Author(s)
  Naoya Ando
- Organizer
  International Scientific Online Conference, Algebraic and Geometric Methods of Analysis, 2024
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03228
[Presentation] The SO(3,1)-orbits in the light cone of the 2-fold exterior power of the Minkowski 4-space2024
- Author(s)
  安藤直也
- Organizer
  名工大幾何学講演会2024
- Invited
- Data Source
  KAKENHI-PROJECT-21K03228
[Presentation] 3次元Lorentz-Minkowski空間内の曲面の臍点について2023
- Author(s)
  安藤直也
- Organizer
  第70回幾何学シンポジウム
- Invited
- Data Source
  KAKENHI-PROJECT-21K03228
[Presentation] The SO(3,1)-orbits in the light cone of the 2-fold exterior power of the Minkowski 4-space2023
- Author(s)
  Naoya Ando
- Organizer
  The 7th International Colloquium on Differential Geometry and its Related Fields
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03228
[Presentation] Surfaces with zero mean curvature vector in 4-dimensional spaces2023
- Author(s)
  Naoya Ando
- Organizer
  International Scientific Online Conference, Algebraic and Geometric Methods of Analysis
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03228
[Presentation] The lifts of the conformal Gauss maps of minimal surfaces in the Euclidean 3-space2022
- Author(s)
  安藤直也
- Organizer
  Workshop on Surface Theory ---UY60---
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03228
[Presentation] The lifts of the conformal Gauss maps of minimal surfaces in the Euclidean 3-space2022
- Author(s)
  安藤直也
- Organizer
  Workshop on Surface Theory ---UY60---
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] The lifts of surfaces in neutral 4-manifolds into their 2-Grassmann bundles2021
- Author(s)
  Naoya Ando
- Organizer
  The X International Meeting on Lorentzian Geometry, GeLoCor2021
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] 階数4のベクトル束に付随するツイスター空間およびそれらの類似物の切断2021
- Author(s)
  安藤直也
- Organizer
  福岡大学微分幾何研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] 階数4のベクトル束に付随するツイスター空間およびそれらの類似物の切断2021
- Author(s)
  安藤直也
- Organizer
  福岡大学微分幾何研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-21K03228
[Presentation] The lifts of surfaces in neutral 4-manifolds into their 2-Grassmann bundles2021
- Author(s)
  安藤直也
- Organizer
  大阪市立大学・幾何学講演会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector2021
- Author(s)
  安藤直也
- Organizer
  大阪市立大学・幾何学講演会
- Invited
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] 様々な4次元空間内の平均曲率ベクトルが零である曲面について2020
- Author(s)
  安藤直也
- Organizer
  九大幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] ４次元ニュートラル空間内の平均曲率ベクトルが零である曲面2019
- Author(s)
  安藤直也
- Organizer
  福岡大学微分幾何研究集会
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] 時間的曲面の共形Gauss写像およびツイスター・リフト2019
- Author(s)
  安藤直也
- Organizer
  多様体上の変分問題とその周辺領域
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] 4次元ニュートラル空間内の平均曲率ベクトルが零である曲面2019
- Author(s)
  Naoya Ando
- Organizer
  DGA2019
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] 共形Gauss写像2019
- Author(s)
  安藤直也
- Organizer
  大阪市立大学微分幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] Euclid空間内の極小曲面、Gauss写像および正則４次微分 (Minimal surfaces in Euclidean spaces, the Gauss maps and holomorphic quartic differentials)2018
- Author(s)
  安藤直也 (Naoya Ando)
- Organizer
  アクセサリー・パラメーター研究会 (Workshop on Accessory parameters at Kumamoto)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] Holomorphic quartic differentials on surfaces2018
- Author(s)
  Naoya Ando
- Organizer
  The International Colloquium on Differential Geometry and its Related Fields
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] Euclid空間内の部分多様体の反転による像のコンパクト化について2018
- Author(s)
  安藤直也
- Organizer
  榎本一之教授退職直前ワークショップ
- Invited
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] 擬Riemann空間型内の平均曲率ベクトルが零である空間的曲面2017
- Author(s)
  安藤直也
- Organizer
  2017年度福岡大学微分幾何研究集会
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] 様々な４次元空間内の平均曲率ベクトルが零である空間的曲面2017
- Author(s)
  安藤直也
- Organizer
  RIMS研究集会「部分多様体論の潮流」
- Invited
- Data Source
  KAKENHI-PROJECT-17K05221
[Presentation] 共形Gauss写像について2014
- Author(s)
  安藤直也
- Organizer
  福岡大学幾何学セミナー
- Place of Presentation
  福岡大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] Molding surfaces and parallel curved surfaces2014
- Author(s)
  安藤直也
- Organizer
  研究集会「測地線及び関連する諸問題」
- Place of Presentation
  熊本大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] Local characterizations of surfaces in various spaces by induced metrics and principal distributions2014
- Author(s)
  Naoya Ando
- Organizer
  The 4th International Colloquium on Differential Geometry and its Related Fields
- Place of Presentation
  Rectorat Building, Europe Hall, St. Cyril and St. Methodius University, Veliko Tarnovo, Bulgaria
- Year and Date
  2014-09-10
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] ４次元de Sitter空間内の平均曲率ベクトルが零である曲面2014
- Author(s)
  安藤直也
- Organizer
  研究集会「多様体上の変分問題とその周辺領域」
- Place of Presentation
  山口県健康づくりセンター
- Invited
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] Local characterizations of surfaces in various spaces by induced metrics and principal distributions2014
- Author(s)
  Naoya Ando
- Organizer
  The 8th International Conference of Differential Geometry and Dynamical Systems
- Place of Presentation
  Callatis High School, Mangalia, Romania
- Year and Date
  2014-09-02
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] Euclid空間内の部分多様体の反転による像のコンパクト化2014
- Author(s)
  安藤直也
- Organizer
  研究集会「多様体上の変分問題とその周辺領域」
- Place of Presentation
  山口県健康づくりセンター
- Invited
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] Over-determined systems in relation to principal curvatures2013
- Author(s)
  Naoya Ando
- Organizer
  Differential Geometry and its Applications 2013
- Place of Presentation
  Masaryk University, Brno, Czech Republic
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] ３次元空間型内の曲面上の過剰決定系について2013
- Author(s)
  安藤直也
- Organizer
  九大幾何学セミナー
- Place of Presentation
  九州大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] Molding surfaces and parallel curved surfaces2013
- Author(s)
  安藤直也
- Organizer
  福岡大学幾何学研究会
- Place of Presentation
  福岡大学セミナーハウス
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] Over-determined systems on surfaces in 3-dimensional space forms2013
- Author(s)
  安藤直也
- Organizer
  研究集会「測地線および関連する諸問題」
- Place of Presentation
  熊本大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] Willmore球面について (1), (2), (3)2013
- Author(s)
  安藤直也
- Organizer
  研究集会「多様体上の変分問題とその周辺領域」
- Place of Presentation
  山口県健康づくりセンター
- Invited
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] ３次元空間型内の曲面上の過剰決定系2013
- Author(s)
  安藤直也
- Organizer
  ２０１３日本数学会年会幾何学分科会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] A family of surfaces given by an over-determined system2013
- Author(s)
  Naoya Ando
- Organizer
  International Conference on Topology and Geometry Joint with the Sixth Japan-Mexico Topology Symposium
- Place of Presentation
  島根大学
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] Over-determined systems on surfaces in 3-dimensional space forms2012
- Author(s)
  安藤直也
- Organizer
  福岡大学幾何学研究会
- Place of Presentation
  福岡大学セミナーハウス
- Invited
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] A family of surfaces in E^3 given by an over-determined system2012
- Author(s)
  安藤直也
- Organizer
  曲面論小研究集会
- Place of Presentation
  東京工業大学(東京,大岡山キャンパス)
- Year and Date
  2012-03-19
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] Over-determined systems on surfaces2012
- Author(s)
  安藤直也
- Organizer
  第５９回幾何学シンポジウム
- Place of Presentation
  九州大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740048
[Presentation] A family of surfaces in E^3 given by an over-determined system2012
- Author(s)
  安藤直也
- Organizer
  研究集会「測地線及び関連する諸問題」
- Place of Presentation
  熊本大学(熊本,教育学部)
- Year and Date
  2012-01-08
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] A family of surfaces in E^3 given by an over-determined system2012
- Author(s)
  安藤直也
- Organizer
  研究集会「測地線及び関連する諸問題」
- Place of Presentation
  熊本大学教育学部(熊本県)(招待講演)
- Year and Date
  2012-01-08
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] A family of surfaces in E^3 given by an over-determined system2012
- Author(s)
  安藤直也
- Organizer
  曲面論小研究集会
- Place of Presentation
  東京工業大学大岡山キャンパス(東京都)(招待講演)
- Year and Date
  2012-03-19
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] Hopf's theorem for surfaces with constant mean curvature and its generalizations2011
- Author(s)
  Naoya Ando
- Organizer
  第10回環太平洋幾何学会議2011大阪-福岡PartII
- Place of Presentation
  九州大学西新プラザ(福岡県)
- Year and Date
  2011-12-09
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] Hopf's theorem for surfaces with constant mean curvature and its generalizations2011
- Author(s)
  Naoya Ando
- Organizer
  第10回環太平洋幾何学会議2011大阪-福岡PartII
- Place of Presentation
  九州大学西新プラザ(福岡,西新)
- Year and Date
  2011-12-09
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] Hartman-Wintnerの定理およびその応用2010
- Author(s)
  安藤直也
- Organizer
  日本数学会2010年度年会幾何学分科会一般講演
- Place of Presentation
  慶應義塾大学(神奈川,矢上キャンパス)
- Year and Date
  2010-03-24
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] 曲面上の主分布の振る舞い2010
- Author(s)
  安藤直也
- Organizer
  日本数学会2010年度年会幾何学分科会特別講演
- Place of Presentation
  慶應義塾大学
- Year and Date
  2010-03-24
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] Hartman-Wintnerの定理およびその応用2010
- Author(s)
  安藤直也
- Organizer
  日本数学会2010年度年会幾何学分科会一般講演
- Place of Presentation
  慶應義塾大学
- Year and Date
  2010-03-24
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] 曲面上の主分布の振る舞い2010
- Author(s)
  安藤直也
- Organizer
  日本数学会2010年度年会幾何学分科会特別講演
- Place of Presentation
  慶應義塾大学(神奈川,矢上キャンパス)
- Year and Date
  2010-03-24
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] Molding surfaces and Liouville's equation2009
- Author(s)
  安藤直也
- Organizer
  研究集会「測地線および関連する諸問題」
- Place of Presentation
  熊本大学
- Year and Date
  2009-01-11
- Data Source
  KAKENHI-PROJECT-18740034
[Presentation] 曲面上の主分布およびある種の優決定系について2009
- Author(s)
  安藤直也
- Organizer
  研究集会「部分多様体論・湯沢2009」
- Place of Presentation
  湯沢グランドホテル(新潟,越後湯沢)
- Year and Date
  2009-11-27
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] 曲面上の主分布およびある種の優決定系について2009
- Author(s)
  安藤直也
- Organizer
  九州大学幾何学セミナー
- Place of Presentation
  九州大学(福岡,箱崎キャンパス)
- Year and Date
  2009-06-26
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] 曲面上の主分布およびある種の優決定系2009
- Author(s)
  安藤直也
- Organizer
  日本数学会2009年度秋季幾何学分科会一般講演
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] 曲面上の主分布およびある種の優決定系2009
- Author(s)
  安藤直也
- Organizer
  九州大学幾何学セミナー
- Place of Presentation
  九州大学
- Year and Date
  2009-06-26
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] 曲面上の主分布およびある種の優決定系について2009
- Author(s)
  安藤直也
- Organizer
  研究集会「部分多様体論・湯沢2009」
- Place of Presentation
  湯沢グランドホテル新潟県
- Year and Date
  2009-11-27
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] 曲面上の主分布およびある種の優決定系について2009
- Author(s)
  安藤直也
- Organizer
  日本数学会2009年度秋季幾何学分科会一般講演
- Place of Presentation
  大阪大学(大阪,豊中キャンパス)
- Year and Date
  2009-09-24
- Data Source
  KAKENHI-PROJECT-21740054
[Presentation] Molding surfaces and Liouville's equation2008
- Author(s)
  安藤直也
- Organizer
  幾何学阿蘇研究集会
- Place of Presentation
  休暇村南阿蘇
- Year and Date
  2008-08-31
- Data Source
  KAKENHI-PROJECT-18740034
[Presentation] Molding surfaces and Liouville's equation2008
- Author(s)
  安藤直也
- Organizer
  日本数学会2008年度秋季幾何学分科会
- Place of Presentation
  東京工業大学
- Year and Date
  2008-09-24
- Data Source
  KAKENHI-PROJECT-18740034
[Presentation] 曲面の曲率線の測地的曲率について2007
- Author(s)
  安藤直也
- Organizer
  日本数学会2007年度年会幾何学分科会
- Place of Presentation
  埼玉大学
- Year and Date
  2007-03-27
- Data Source
  KAKENHI-PROJECT-18740034
[Presentation] 曲面の曲率線の測地的曲率2007
- Author(s)
  安藤直也
- Organizer
  研究集会「幾何構造と部分多様体の交差する領域」
- Place of Presentation
  名城大学
- Year and Date
  2007-03-06
- Data Source
  KAKENHI-PROJECT-18740034
[Presentation] 曲面の曲率線の測地的曲率2007
- Author(s)
  安藤直也
- Organizer
  熊本大学幾何学セミナー
- Place of Presentation
  熊本大学
- Year and Date
  2007-08-03
- Data Source
  KAKENHI-PROJECT-18740034
[Presentation] 曲面の曲率線の測地的曲率2007
- Author(s)
  安藤直也
- Organizer
  第54回幾何学シンポジウム
- Place of Presentation
  鹿児島大学
- Year and Date
  2007-08-24
- Data Source
  KAKENHI-PROJECT-18740034
[Presentation] 曲率線の族のーつが測地線からなる曲面について2006
- Author(s)
  安藤直也
- Organizer
  九州大学幾何学セミナー
- Place of Presentation
  九州大学
- Year and Date
  2006-05-12
- Data Source
  KAKENHI-PROJECT-18740034
[Presentation] 曲率線の族の一つが測地線からなる曲面について2006
- Author(s)
  安藤直也
- Organizer
  日本数学会2006年度秋季幾何学分科会
- Place of Presentation
  大阪市立大学
- Year and Date
  2006-09-19
- Data Source
  KAKENHI-PROJECT-18740034
[Presentation] 曲面の曲率線の測地的曲率について2006
- Author(s)
  安藤直也
- Organizer
  部分多様体論・湯沢2006
- Place of Presentation
  新潟県,湯沢グランドホテル
- Year and Date
  2006-11-29
- Data Source
  KAKENHI-PROJECT-18740034

1. OHNITA Yoshihiro (90183764)

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2. KATO Shin (10243354)

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3. KOMORI Yohei (70264794)

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4. SAKAI Takashi (30381445)

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5. HASHIMOTO Yoshitake (20271182)

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6. KOISO Miyuki (10178189)

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7. FUJIOKA Atsushi (30293335)

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8. 小池直之 (00281410)

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9. 田中真紀子 (20255623)

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10. 入江博 (30385489)

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11. 宇田川誠一 (70193878)

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12. 谷口哲也 (10383556)

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13. GUEST Martin (10295470)

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16. PALMER Bennett

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17. PICCIONE Paolo

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18. 梅原雅顕

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ANDO NAOYA 安藤 直也

Ando Naoya 安藤 直也

ANDO Naoya 安藤 直也

Research Projects

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Co-Researchers

Complex quartic differentials on surfacesPrincipal Investigator

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Principal distributions on surfaces in various spacesPrincipal Investigator

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Global studies of principal distributions on surfaces and researches of principal distributions on various submanifoldsPrincipal Investigator

Principal Investigator

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Researches of principal distributions and over-determined systems on surfacesPrincipal Investigator

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Research on stability and global properties of solutions of geometric variational problems

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The relation between an intrinsic property and an extrinsic property of a submanifoldPrincipal Investigator

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Research on Submanifold Theory via Infinite Dimensional Methods

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曲面上の主分布および主曲率関数の振る舞い(外在的な性質と内在的な性質の関係)Principal Investigator

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Project Period (FY)

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[Book] Willmore曲面について 第２巻2014

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Total Pages

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[Book] Willmore曲面について (このうち「Willmore球面について」を安藤が担当)2013

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[Book] Willmore予想およびWillmore曲面について2012

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[Journal Article] THE SO(3,1)-ORBITS IN THE LIGHT CONE OF THE 2-FOLD EXTERIOR POWER OF THE MINKOWSKI 4-SPACE2025

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[Journal Article] Time-like surfaces with zero mean curvature vector in four-dimensional neutral space forms2024

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[Journal Article] Correction to: Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector2023

Author(s)

ANDO NAOYA 安藤直也

Ando Naoya 安藤直也

ANDO Naoya 安藤直也

[Book] Willmore曲面について第２巻2014