Rchr
J-GLOBAL ID:200901088816943348
Update date: Mar. 20, 2024
Nakauchi Nobumitsu
ナカウチ ノブミツ | Nakauchi Nobumitsu
Affiliation and department:
Research field (2):
Mathematical analysis
, Geometry
Research keywords (4):
Geometric Analysis
, differential geometry
, 大域解析学
, Global Analysis
Research theme for competitive and other funds (41):
- 2022 - 2027 共形写像に関連する変分問題と計量のpullbackに関する変分問題の研究
- 2018 - 2022 A variational problem on conformality of maps and a variational problem on pullbacks of metrics
- 2017 - 2022 The application of nonsmooth analysis to the collapsing theory and exotic structure
- 2016 - 2021 A construction of the thery of homogeneous surfaces in Riemannian symmetric spaces
- 2015 - 2019 Research on a variational problem related to conformal maps and a variational problem of pullback of metrics
- 2012 - 2015 a variational problem with respect to conformal maps and a variational problem for pullbacks of metrics
- 2011 - 2015 Grassmann geomety of surfaces in a Riemannian symmetric space
- 2008 - 2010 Riemannian homogeneous spaces and their Grassmann geometry
- 2006 - 2009 n-harmonic maps and conformal structures on Riemannian manifolds
- 2007 - 2008 Research for asymptotic behavior of solutions of nonlinear differential equations
- 2005 - 2007 Study on submanfolds of homogeneous spaces from the view of orbital Grassmann geometry
- 2003 - 2006 n-harmonic maps and geometries of conformal structures on Riemannian manifolds
- 2005 - 2006 Study on characteristic numbers of G-manifolds and its fixed points submanifolds
- 2003 - 2004 Research on families of fixed point sets of G-manifolds in transformation group theory
- 2003 - 2004 Hessian Geometry and Information Geometry
- 2001 - 2004 Study on the geometry of symmetric spaces and their totally geodesic submanifolds
- 2000 - 2002 n-harmonic maps with applications to geometry of conformal structures on manifolds
- 2001 - 2002 DIFFERENTIAL GEOMETRY OF HESSIAN STRUCTURES AND ITS APPLICATIONS TO INFORMATION GEOMETRY
- 2000 - 2001 Study of asymptotic behavior of solutions of differential equations
- 1998 - 2000 n-harmonic maps and conformal structures on manifolds
- 1999 - 2000 破壊の数理モデルのコード化
- 1998 - 1999 Differential Geometry and Information Geometry II
- 1998 - 1999 リーマン面上の極値的長さ、双曲的長さとモデュライ問題
- 1997 - 1998 Study on Submanifold Theory of Compact Riemannian Symmetric Spaces
- 1997 - 1998 Transformation Group Theory and Critical Point Theory
- 1997 - 1998 Global properties of singularities
- 1997 - 1998 Mathematical Modeling and Mathematical Analysis of Fracture
- 1996 - 1996 リーマン面間の正則写像の研究
- 1994 - 1995 多様体上の変分問題と微分方程式の研究
- 1995 - 1995 変換群論と臨界点論の研究
- 1995 - 1995 Lie群の表現と等質空間上の調和解析
- 1993 - 1994 多様体上の変分問題と付随する微分方程式の解の研究
- 1994 - 1994 対称空間の部分多様体とグラスマン幾何の研究
- 1993 - 1993 微分幾何学と情報幾何学
- 1992 - 1992 不動点理論と変換群論の研究
- 1990 - 1991 変分問題に付随する微分方程式の解の研究
- 1991 - 1991 対称空間の部分多様体の研究
- 1990 - 1990 リ-マン面上の有理型函数とワイエルストラス点の研究
- 1987 - 1988 Lie群の表現と等質空間上の調和解析
- 1986 - 1987 幾何学的測度論とその応用
- 1986 - 1986 多様体と群作用の研究
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Papers (47):
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Nobumitsu Nakauchi. Instability of a family of examples of harmonic maps. Annals of Global Analysis and Geometry. 2024. 65. 1
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Nobumitsu Nakauchi. A family of examples of harmonic maps into the sphere with one point singularity. Examples and Counterexamples. 2023. 3. 100107
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Masashi, Misawa, Nobumitsu Nakauchi. On the finite-time blow-up of symphonic map flows. Differential and Integral Equations. 2023. 36. 93-131
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Nobumitsu Nakauchi. Two Results for Symphonic Maps Under Assumptions on m-Symphonic Energy. Results in Mathematics. 2022. 77. 6
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Nobumitsu Nakauchi. Conformality of rotationally symmetric maps. Journal of Geometry and Physics. 2022. 179. 104575
more...
MISC (23):
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中内伸光. 雑誌「数学セミナー」の「エレガントな解答をもとむ」の解答と講評 (2024年4月号). 数学セミナー. 2024
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中内伸光. 微積分で考える曲線と曲面. 数理科学. 2024. 728. 7-13
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中内伸光. 雑誌「数学セミナー」の「エレガントな解答をもとむ」の出題 (2024年1月号). 数学セミナー. 2024
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中内伸光. 今月の表紙の図形 線織面 --- 直線が織りなす曲面. 数学セミナー 2020年(6月号). 2020. 57-57
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中内 伸光. 微分形式 --- 局所的にも大域的にも便利な道具. 数学セミナー. 2018. 2018年. 12月号. 12-16
more...
Books (5):
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新装版 幾何学は微分しないと : 微分幾何学入門
現代数学社 2019 ISBN:9784768705070
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幾何学は微分しないと : 微分幾何学入門
現代数学社 2011 ISBN:9784768704172
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ろんりと集合
日本評論社 2009 ISBN:9784535786417
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じっくり学ぶ曲線と曲面 : 微分幾何学初歩
共立出版 2005 ISBN:9784320017887
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数学の基礎体力をつけるためのろんりの練習帳
共立出版 2002 ISBN:9784320017009
Lectures and oral presentations (34):
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A variational problem on conformality of maps and related topics
(Workshop on Differential Geometry and Geometric Analysis --- Celebration of Professor Miyuki Koiso's Retirement 2022)
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写像の共形性に関連する変分問題とその研究過程で現れた変分問題
(多様体の上の微分方程式 2018)
-
計量の pullback に関連したある汎関数の stationary map について
(日本数学会年会 2017)
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A new approach to conformal maps between Riemannian manifolds from a viewpoint of a variational problem
(2016)
-
Chen conjecture and triharmonic manifolds
(The mathematical Society of Japan 2014)
more...
Works (5):
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数学書房の編集委員
2006 - 現在
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山口大学数理科学レクチャーノート No.3 「Willmore 曲面について 第2巻」を編集・刊行
2014 - 2014
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Symposium "Variationa problems on manifolds and related topics --- Willmore surfaces"
2014 - 2014
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山口大学数理科学レクチャーノート No.2 「Willmore 曲面について 第1巻」を編集・刊行
2013 - 2013
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Symposium "Variationa problems on manifolds and related topics --- Willmore surfaces"
2013 - 2013
Education (2):
- - 1983 Osaka University Graduate School, Division of Natural Science
- - 1981 Kyoto University Faculty of Science
Professional career (3):
- Master
- Doctor
- 博士(理学) (大阪大学)
Work history (3):
- 2016/04 - 現在 Graduate School of Sciences and Technology foir innovation Professor
- 2011/10/05 - 2016/04/11 YAMAGUCHI UNIVERSITY Graduate School of Science and Engineering(Science) Professor
- 2010/04/01 - 2011/10/04 YAMAGUCHI UNIVERSITY Graduate School of Science and Engineering(Science) Associate Professor
Committee career (6):
Association Membership(s) (5):
American Mathematical Society
, 国際数理物理学会
, ラマヌジャン数学会
, アメリカ数学会
, 日本数学会
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