Rchr
J-GLOBAL ID：200901002270142827
Update date: Feb. 01, 2024
Tasaki Hiroyuki
タサキ ヒロユキ | Tasaki Hiroyuki
Affiliation and department：
Research field (1)：
Geometry
Research keywords (10)：
Integral geometry
, Differential geometry
, Homogeneous spaces
, Symmetric spaces
, Lie groups
, Weakly reflective submanifolds
, Antipodal sets
, Antipodal subgroups
, Polars
, Complex flag manifolds
Research theme for competitive and other funds (30)：
- 2021 - 2024 Study of antipodal sets with its extension and application
- 2018 - 2020 Clarification, extension and application of antipodal sets of symmetric spaces
- 2015 - 2018 Study on geometry of symmetric R-spaces and their submanifolds
- 2015 - 2017 Extension and application of antipodal sets in symmetric spaces
- 2012 - 2014 Study of antipodal sets in symmetric spaces with its extension and application
- 2009 - 2011 Differential geometry and integral geometry in homogeneous spaces and its applications
- 2006 - 2009 MATHEMATICAL STATISTICS FOR DATA ANALYSIS IN HIGH DIMENSION, LOW SAMPLE SIZE CONTEXT AND ITS APPLICATIONS
- 2007 - 2008 Study of nonlinear boundary value problems by topological methods
- 2006 - 2008 Differential geometric study of four dimensional diffeomorphism Poincare conjecture and variant Yamabe invariants
- 2006 - 2007 Integral geometry in homogeneous spaces and its applications
- 2005 - 2007 GLOBAL CONSTRUMONS OF MODULI SPACES
- 2004 - 2006 Cayley algebra and Grassmann geometry
- 2004 - 2005 Integral geometry and variational problems in homogeneous spaces
- 2002 - 2004 TOPOLOGY OF MODULI SPACES AND REPRESENTATION THEORY
- 2002 - 2003 Homogeneous spaces and variational problems
- 2001 - 2003 Group action and Grassmann Geometry
- 2000 - 2003 Research on constant mean curvature surfaces
- 2001 - 2002 Study of the mathematical foundation of energy level statistics.
- 2000 - 2001 Homogeneous spaces and variational problems
- 1999 - 2000 Global Geometrical Approach to Contact Manifolds
- 1998 - 2000 Submanifolds of homogeneous spaces and Grassmann geometry
- 1996 - 1997 Global Analysis of Manifolds and Conformal Structures
- 1996 - 1996 等式空間における変分問題
- 1996 - 1996 等質空間における変分問題
- 1995 - 1995 幾何学的トポロジーと位相力学系の研究
- 1995 - 1995 接触多様体の幾何学
- 1994 - 1994 積分幾何学の変分問題への応用
- 1992 - 1992 4次元多様体の幾何学とゲージ理論
- 1990 - 1990 数論とその周辺分野における諸方法の綜合的研究
- 1990 - 1990 極小部分多様体とその位相的,群論的研究
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Papers (60)：
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Tanaka, Makiko Sumi, Tasaki, Hiroyuki, Yasukura, Osami. MAXIMAL ANTIPODAL SETS RELATED TO G_2. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. 2022. 150. 4533-4542
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Tasaki, Hiroyuki, Tanaka, Makiko Sumi. Addendum to: Maximal antipodal sets of compact classical symmetric spaces and their cardinalities I. Differential Geometry and Its Applications. 2022. 80. 2022. 101815
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Tasaki, Hiroyuki, Tanaka, Makiko Sumi. Polars of disconnected compact Lie groups. Contemporary Mathematics. 2022. 777. 211-225
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Iriyeh, Hiroshi, Sakai, Takashi, Tasaki, Hiroyuki. On the structure of the intersection of real flag manifolds in a complex flag manifold. Advanced Studies in Pure Mathematics. 2019. 82. 87-98
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Makiko Sumi Tanaka, Hiroyuki Tasaki. Maximal Antipodal Subgroups of some Compact Classical Lie Groups. JOURNAL OF LIE THEORY. 2017. 27. 3. 801-829
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MISC (6)：
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田中真紀子, 田崎博之, 保倉理美. 例外型コンパクト対称空間G_2/SO(4)の幾何. 日本数学会2019年度秋季総合分科会 幾何学分科会講演アブストラクト. 2019. 3-4
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Makiko Sumi Tanaka, Hiroyuki Tasaki, Osami Yasukura. Maximal antipodal sets of G_2 and G_2/SO(4) and related geometry. Proceedings of the 22nd International Workshop on Differential Geometry of Submanifolds in Symmetric Spaces. 2019. 22. 153-159
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田中真紀子, 田崎博之. 古典型コンパクト対称空間の極大対蹠集合I. 日本数学会2018年度秋季総合分科会 幾何学分科会講演アブストラクト. 2018. 29-30
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田中真紀子, 田崎博之. 古典型コンパクトLie環の自己同型群の極大対蹠部分群. 日本数学会2016年秋季総合分科会 幾何学分科会講演アブストラクト. 2016. 93-94
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田中真紀子, 田崎博之, 保倉理美. 例外型コンパクトLie群G_2の極大対蹠部分群. 日本数学会2016年秋季総合分科会 幾何学分科会講演アブストラクト. 2016. 95-96
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Books (3)：
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積分幾何学入門
牧野書店 2016 ISBN:9784434223099
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Differential geometry of curves and surfaces
共立出版 2015 ISBN:9784320111813
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積分幾何学
上智大学数学講究録 1994
Lectures and oral presentations (130)：
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非連結コンパクトLie 群の極地とコンパクト対称空間の極大対蹠集合
(部分多様体幾何とリー群作用2021 2022)
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Maximal antipodal sets of compact symmetric spaces
(研究集会「カンドルと対称空間」 2021)
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古典型コンパクト対称空間の極大対蹠集合 II
(日本数学会2021年度秋季総合分科会 2021)
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コンパクト対称空間の極大対蹠集合
(筑波大学微分幾何学セミナー 2021)
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非連結コンパクト Lie 群の極地
(日本数学会2021年度年会 2021)
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Professional career (1)：
Association Membership(s) (1)：
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