MAETA Shun 前田瞬

Researcher Number	00709644
Other IDs	https://orcid.org/0000-0002-9470-496X
Affiliation (Current)	2025: 千葉大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2021 – 2023: 千葉大学, 教育学部, 准教授 2018 – 2020: 島根大学, 学術研究院理工学系, 講師 2015 – 2017: 島根大学, 総合理工学研究科, 講師 2014: 島根大学, 総合理工学研究科(研究院), 講師 2013: 秀明大学, 人文社会・教育科学系, 助教 2011 – 2012: 東北大学, 大学院・情報科学研究科, 特別研究員(DC1)
Review Section/Research Field	Principal Investigator Basic Section 11020:Geometry-related / Geometry / Geometry
Keywords	Principal Investigator 回転対称 / 山辺ソリトン / Chen予想 / 極小部分多様体 / 2重調和部分多様体 / リッチソリトン / コンフォーマルソリトン / アインシュタイン多様体 / 一般化されたChen予想 / k重調和写像 … More / 調和写像 / 2重調和写像 / 情報幾何学 / Perelman予想 / 共形ソリトン / 2-調和写像 / k-調和写像 / proper map / 極小部分多様体の一般化 / rectifiable / ヘッセアインシュタイン多様体 / 擬ユークリッド空間 / ポテンシャル関数 / ペレリマン予想 / 双対空間 / 部分多様体 / ヘッセソリトン / ヘッセフロー / ヘッセ多様体 / リッチ曲率 / 定曲率空間 / 対称空間 / 3重調和写像 / 平均曲率一定 / 極小曲面 / 平均曲率 / Ricci soliton / Yamabe soliton / semi-parallel / totally umbilical / vertical cylinder / Cotton tensor / 回転面 / 2重調和曲面 / 沈め込み / 3重調和 / BMO予想 / 完備リーマン多様体 Less

Research Projects
(5 results)
Research Products
(43 results)

Study on the classification of Yamabe solitons and its applicationsPrincipal Investigator
- Principal Investigator
  
  前田瞬
- Project Period (FY)
  2023 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Chiba University
Ricci solitons, Yamabe solitons and a generalization of minimal submanifoldsPrincipal Investigator
- Principal Investigator
  
  Maeta Shun
- Project Period (FY)
  2019 – 2022
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Chiba University
  Shimane University
Classification of biharmonic maps and biharmonic submanifolds, and its applicationsPrincipal Investigator
- Principal Investigator
  
  Maeta Shun
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Geometry
- Research Institution
  Shimane University
Classification problems of biharmonic submanifoldsPrincipal Investigator
- Principal Investigator
  
  MAETA Shun
- Project Period (FY)
  2013 – 2014
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Research Field
  
  Geometry
- Research Institution
  Shimane University
  Shumei University
k－調和写像の幾何と存在定理Principal Investigator
- Principal Investigator
  
  前田瞬
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for JSPS Fellows
- Research Field
  
  Geometry
- Research Institution
  Tohoku University

All 2024 2022 2021 2020 2019 2017 2016 2015 2014 2013 2012 2011

All Journal Article Presentation

[Journal Article] Complete steady gradient Yamabe solitons with positive scalar curvature are rotationally symmetric2024
- Author(s)
  Shun Maeta
- Journal Title
  
  arXiv
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-23K03107
[Journal Article] Revisiting gradient conformal solitons2024
- Author(s)
  Antonio W. Cunha, Eudes L. de Lima, Henrique F. de Lima, Shun Maeta
- Journal Title
  
  Advances in Geometry
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-23K03107
[Journal Article] Generalized Yamabe solitons on hypersurfaces in pseudo-Euclidean spaces2024
- Author(s)
  Bektas Demirci Burcu、Fujii Shunya、Maeta Shun
- Journal Title
  
  Journal of Geometry
  
  Volume: 115 Issue: 1
- DOI
  10.1007/s00022-023-00705-2
- Data Source
  KAKENHI-PROJECT-23K03107
[Journal Article] Structure of gradient conformal solitons and its applications2022
- Author(s)
  Shun Maeta
- Journal Title
  
  arXiv
  
  Volume: 2208.09162
- Data Source
  KAKENHI-PROJECT-19K14534
[Journal Article] Triharmonic Riemannian submersions from 3-dimensional space forms2021
- Author(s)
  Tomoya MIura and Shun Maeta
- Journal Title
  
  Advances in Geometry
  
  Volume: 21 Issue: 2 Pages: 163-168
- DOI
  10.1515/advgeom-2020-0033
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K14534
[Journal Article] Classification of generalized Yamabe solitons in Euclidean spaces2021
- Author(s)
  Fujii Shunya、Maeta Shun
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 32 Issue: 04 Pages: 2150022-2150022
- DOI
  10.1142/s0129167x21500221
- Data Source
  KAKENHI-PROJECT-19K14534
[Journal Article] Self-similar solutions to the Hesse flow2021
- Author(s)
  Maeta Shun
- Journal Title
  
  Information Geometry
  
  Volume: 4 Issue: 2 Pages: 313-327
- DOI
  10.1007/s41884-021-00054-6
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K14534
[Journal Article] Biharmonic hypersurfaces in a product spaceLm×R2021
- Author(s)
  Yu Fu, Shun Maeta and Ye-Lin Ou
- Journal Title
  
  Mathematische Nachrichten
  
  Volume: 294 Issue: 9 Pages: 1724-1741
- DOI
  10.1002/mana.201900457
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K14534
[Journal Article] Three-dimensional complete gradient Yamabe solitons with divergence-free Cotton tensor2020
- Author(s)
  Maeta Shun
- Journal Title
  
  Annals of Global Analysis and Geometry
  
  Volume: 58 Issue: 2 Pages: 227-237
- DOI
  10.1007/s10455-020-09722-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14534
[Journal Article] Some classifications of biharmonic hypersurfaces with constant scalar curvature2020
- Author(s)
  Maeta Shun、Ou Ye-Lin
- Journal Title
  
  Pacific Journal of Mathematics
  
  Volume: 306 Issue: 1 Pages: 281-290
- DOI
  10.2140/pjm.2020.306.281
- Data Source
  KAKENHI-PROJECT-19K14534
[Journal Article] Complete Yamabe solitons with finite total scalar curvature2019
- Author(s)
  Shun Maeta
- Journal Title
  
  Differential Geometry and its Applications
  
  Volume: 66 Pages: 75-81
- DOI
  10.1016/j.difgeo.2019.05.007
- NAID
  120007038033
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K14534, KAKENHI-PROJECT-15K17542
[Journal Article] Classification of almost Yamabe solitons in Euclidean spaces2019
- Author(s)
  Seko Tatsuya、Maeta Shun
- Journal Title
  
  Journal of Geometry and Physics
  
  Volume: 136 Pages: 97-103
- DOI
  10.1016/j.geomphys.2018.10.016
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17542
[Journal Article] Biharmonic hypersurfaces with bounded mean curvature2017
- Author(s)
  Shun Maeta
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 145 Issue: 4 Pages: 1773-1779
- DOI
  10.1090/proc/13335
- NAID
  120006352343
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K17542
[Journal Article] Biharmonic submanifolds in manifolds with bounded curvature2016
- Author(s)
  Shun Maeta
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 27 Issue: 11 Pages: 1-15
- DOI
  10.1142/s0129167x16500890
- NAID
  120006352344
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-15K17542
[Journal Article] Construction of triharmonic maps2015
- Author(s)
  Shun Maeta
- Journal Title
  
  Houston J. Math.
  
  Volume: 41 Pages: 433-444
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K17542
[Journal Article] Polyharmonic maps of order k with finite L^p k-energy into Euclidean spaces2015
- Author(s)
  Shun Maeta
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 143 Issue: 5 Pages: 2227-2234
- DOI
  10.1090/s0002-9939-2014-12382-3
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25887044, KAKENHI-PROJECT-15K17542
[Journal Article] Triharmonic isometric immersions into a manifold of non-positively constant curvature2015
- Author(s)
  Shun Maeta, Nobumitsu Nakauchi and Hajime Urakawa
- Journal Title
  
  Monatshefte fur Mathematik
  
  Volume: 未定 Issue: 4 Pages: 551-567
- DOI
  10.1007/s00605-014-0713-4
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-25887044, KAKENHI-PROJECT-25400154, KAKENHI-PROJECT-15K17542
[Journal Article] Polyharmonic maps of order k with finite $L^p$ k-energy into Euclidean spaces,2014
- Author(s)
  Shun Maeta
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25887044
[Journal Article] Biharmonic maps from a complete Riemannian manifold into a non-positively curved manifold2014
- Author(s)
  Shun Maeta
- Journal Title
  
  Annals of Global Analysis and Geometry
  
  Volume: 未定 Issue: 1 Pages: 75-85
- DOI
  10.1007/s10455-014-9410-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25887044
[Journal Article] Biharmonic Lagrangian submanifolds in Kahler manifolds2013
- Author(s)
  Shun Maeta and Hajime Urakawa
- Journal Title
  
  Glasgow Mathematical Journal
  
  Volume: (掲載確定)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-11J06949
[Journal Article] Biharmonic properly immersed submanifolds in Euclidean spaces2013
- Author(s)
  Kazuo Akutagawa and Shun Maeta
- Journal Title
  
  Geometriae Dedicata
  
  Volume: (掲載確定) Issue: 1 Pages: 351-355
- DOI
  10.1007/s10711-012-9778-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-11J06949, KAKENHI-PROJECT-24654009
[Journal Article] The second variational formula of the k-energy and k-harmonic curves2012
- Author(s)
  Shun Maeta
- Journal Title
  
  Osaka Journal of Mathematics
  
  Volume: 49 Pages: 1035-1063
- NAID
  120005986484
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-11J06949
[Journal Article] k-harmonic maps into a Riemannian manifold with constant sectional curvature2012
- Author(s)
  Shun Maeta
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 140 Pages: 1835-1847
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-11J06949
[Journal Article] Polyharmonic submanifolds in Euclidean spaces2012
- Author(s)
  Shun Maeta
- Journal Title
  
  Balkan Journal of Geometry and Its Application
  
  Volume: 17 Pages: 70-77
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-11J06949
[Journal Article] Biminimal properly immersed submanifolds in the Euclidean space.2012
- Author(s)
  Shun Maeta
- Journal Title
  
  Journal of Geometry and Physics
  
  Volume: 62 Pages: 2288-2293
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-11J06949
[Presentation] 山辺ソリトンの一般化に対する分類定理とその応用2022
- Author(s)
  前田　瞬
- Organizer
  多様体上の微分方程式
- Invited
- Data Source
  KAKENHI-PROJECT-19K14534
[Presentation] ある種の勾配山辺ソリトンとその一般化に対する分類について2022
- Author(s)
  前田　瞬
- Organizer
  部分多様体論と幾何解析の新展開
- Invited
- Data Source
  KAKENHI-PROJECT-19K14534
[Presentation] ある種の３次元リッチソリトンと山辺ソリトンの分類について2020
- Author(s)
  前田瞬
- Organizer
  筑波大学微分幾何学セミナー
- Invited
- Data Source
  KAKENHI-PROJECT-19K14534
[Presentation] divergence-free コットンテンソルを持つ 3 次元完備勾配山辺ソリトン2020
- Author(s)
  前田瞬
- Organizer
  日本数学会 2020 年度年会
- Data Source
  KAKENHI-PROJECT-19K14534
[Presentation] Biharmonic submanifolds in space forms2017
- Author(s)
  Shun Maeta
- Organizer
  Math Colloquium in Texas A&M University Commerce
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17542
[Presentation] Biharmonic submanifolds and triharmonic submanifolds2014
- Author(s)
  Shun Maeta
- Organizer
  International Workshop on Mathematical Sciences in Matsue
- Place of Presentation
  Shimane University
- Year and Date
  2014-10-12
- Invited
- Data Source
  KAKENHI-PROJECT-25887044
[Presentation] 2重調和部分多様体とChen予想2014
- Author(s)
  前田瞬
- Organizer
  松江セミナー
- Place of Presentation
  島根大学
- Year and Date
  2014-07-02
- Invited
- Data Source
  KAKENHI-PROJECT-25887044
[Presentation] Biharmonic submanifolds, triharmonic submanifolds and Chen's conjecture2014
- Author(s)
  Shun Maeta
- Organizer
  Interenational Workshop on Finite Type Submanifolds
- Place of Presentation
  Istanbul Technical University
- Year and Date
  2014-09-04
- Invited
- Data Source
  KAKENHI-PROJECT-25887044
[Presentation] Chen予想と3重調和部分多様体2014
- Author(s)
  浦川　肇，中内　伸光，前田　瞬
- Organizer
  日本数学会2014年度年会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-25887044
[Presentation] Biharmonic submanifolds and Chen's conjecture2013
- Author(s)
  Shun Maeta
- Organizer
  Conferinta of Universitatea Alexandru loan Cuza
- Place of Presentation
  Universitatea Alexandru loan Cuza
- Data Source
  KAKENHI-PROJECT-25887044
[Presentation] 2重調和部分多様体と一般化されたChen予想2013
- Author(s)
  前田瞬
- Organizer
  日本数学会2013年度年会
- Place of Presentation
  京都大学
- Year and Date
  2013-03-22
- Data Source
  KAKENHI-PROJECT-11J06949
[Presentation] 複素空間形内の2重調和ラグランシアン部分多様体2013
- Author(s)
  前田瞬, 浦川肇
- Organizer
  日本数学会2013年度年会
- Place of Presentation
  京都大学
- Year and Date
  2013-03-22
- Data Source
  KAKENHI-PROJECT-11J06949
[Presentation] 2重調和部分多様体における一般化されたChen予想について2012
- Author(s)
  前田瞬
- Organizer
  部分多様体論・湯沢2012
- Place of Presentation
  湯沢グランドホテル(招待講演)
- Year and Date
  2012-11-24
- Data Source
  KAKENHI-PROJECT-11J06949
[Presentation] 2重調和写像とChen予想について2012
- Author(s)
  前田瞬
- Organizer
  東北大学幾何セミナー
- Place of Presentation
  東北大学(招待講演)
- Year and Date
  2012-07-03
- Data Source
  KAKENHI-PROJECT-11J06949
[Presentation] Biharmonic submanifolds and Chen's conjecture2012
- Author(s)
  前田瞬
- Organizer
  東北大学情報数理談話会
- Place of Presentation
  東北大学(招待講演)
- Year and Date
  2012-12-05
- Data Source
  KAKENHI-PROJECT-11J06949
[Presentation] 2重調和部分多様体における一般化されたChen予想について2012
- Author(s)
  前田瞬
- Organizer
  第59回幾何シンポジウム
- Place of Presentation
  九州大学(招待講演)
- Year and Date
  2012-08-29
- Data Source
  KAKENHI-PROJECT-11J06949
[Presentation] k重調和写像について2011
- Author(s)
  前田瞬
- Organizer
  2011年度日本数学会
- Place of Presentation
  信州大学
- Year and Date
  2011-09-28
- Data Source
  KAKENHI-PROJECT-11J06949
[Presentation] k重調和写像とChen予想へのアプローチ2011
- Author(s)
  前田瞬
- Organizer
  第58回幾何学シンポジウム
- Place of Presentation
  山口大学(招待講演)
- Year and Date
  2011-08-27
- Data Source
  KAKENHI-PROJECT-11J06949

MAETA Shun 前田 瞬

Research Projects

Research Products

Study on the classification of Yamabe solitons and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Ricci solitons, Yamabe solitons and a generalization of minimal submanifoldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Classification of biharmonic maps and biharmonic submanifolds, and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Classification problems of biharmonic submanifoldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

k－調和写像の幾何と存在定理Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Complete steady gradient Yamabe solitons with positive scalar curvature are rotationally symmetric2024

Author(s)

Journal Title

Data Source

[Journal Article] Revisiting gradient conformal solitons2024

Author(s)

Journal Title

Data Source

[Journal Article] Generalized Yamabe solitons on hypersurfaces in pseudo-Euclidean spaces2024

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Structure of gradient conformal solitons and its applications2022

Author(s)

Journal Title

Data Source

[Journal Article] Triharmonic Riemannian submersions from 3-dimensional space forms2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Classification of generalized Yamabe solitons in Euclidean spaces2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Self-similar solutions to the Hesse flow2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Biharmonic hypersurfaces in a product spaceLm×R2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Three-dimensional complete gradient Yamabe solitons with divergence-free Cotton tensor2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Some classifications of biharmonic hypersurfaces with constant scalar curvature2020

Author(s)

Journal Title

DOI

Data Source

MAETA Shun 前田瞬