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J-GLOBAL ID:201301086143290622
Update date: Sep. 29, 2025
Honda Atsufumi
ホンダ アツフミ | Honda Atsufumi
Affiliation and department:
Job title:
准教授
Homepage URL (1):
https://sites.google.com/site/bentiannopeji/
Research field (1):
Geometry
Research keywords (2):
Singularity Theory
, Differential Geometry
Research theme for competitive and other funds (10):
- 2024 - 2028 Geometric invariants of singular points with applications to high dimensional wave fronts and mixed type hypersurfaces
- 2023 - 2027 Development of differential geometric study of surfaces starting from the value distribution of the Gauss map
- 2020 - 2025 Variational problems and geometric analysis for hypersurfaces with singular points, and novel development of discrete surface theory
- 2020 - 2025 Variational problems and geometric analysis for hypersurfaces with singular points, and novel development of discrete surface theory
- 2019 - 2023 Singularities of intrinsic geometric structures and applications to surfaces and hypersurfaces in Lorentzian spacetimes
- 2016 - 2019 Geometric structures which admits singular points and the realization problem
- 2014 - 2017 Study on hypersurfaces of constant anisotropic mean curvature with singulalities
- 2014 - 2016 Geometric integration of crystal theory and vision theory by singularity theory
- 2009 - 2014 Weierstrass-type representation formulas and their application to surfaces with singularities
- 2011 - 2012 空間型の間の等長はめ込みとnull曲線の幾何
Show all
Papers (33):
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Toshizumi Fukui, Atsufumi Honda, Masaaki Umehara. Convexity of space-like projections of submanifolds with co-dimension 2 in Lorentz-Minkowski space. Comptes Rendus. Mathématique. 2025. 363. G1. 109-113
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Atsufumi Honda, Chisa Tanaka, Yuta Yamauchi. The total absolute curvature of closed curves with singularities. Advances in Geometry. 2025. 25. 1. 93-104
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S.Akamine, A.Honda, M.Umehara, K.Yamada. Null hypersurfaces as wave fronts in Lorentz-Minkowski space. Journal of the Mathematical Society of Japan. 2025. 77. 1. 1-30
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Atsufumi Honda, Kosuke Naokawa, Kentaro Saji, Masaaki Umehara, Kotaro Yamada. Symmetries of cross caps. Tohoku Mathematical Journal. 2023. 75. 1. 131-141
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Honda, A., Naokawa, K., Saji, K., Umehara, M., Yamada, K. On the existence of four or more curved foldings with common creases and crease patterns. Beitr. Algebra Geom. 2022. 63. 4. 723-761
more...
MISC (5):
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本田 淳史. 書評 曲線と曲面[藤岡敦著]. 数学通信 / 日本数学会 編. 2024. 29. 2. 68-70
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本田 淳史. 書評 梅原雅顕・佐治健太郎・山田光太郎(谷島賢二・山田澄生編) : 特異点を持つ曲線と曲面の微分幾何学,現代数学シリーズ,19,丸善出版,2017年,xii+319ページ. 数学 / 日本数学会 編. 2020. 72. 2. 213-217
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Atsufumi Honda. Isometric deformations of mixed type surfaces in Lorentz-Minkowski space. 2019
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Atsufumi Honda. Fundamental theorem of spacelike curves in Lorentz-Minkowski space. 2019
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Honda Atsufumi. Wave fronts with one principal curvature a constant in the hyperbolic three-space (Pursuit of the Essence of Singularity Theory). RIMS Kokyuroku. 2013. 1868. 24-31
Lectures and oral presentations (1):
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半正定値計量の幾何学と等長実現問題
(日本数学会2017年度年会 2017)
Education (2):
- 2010 - 2013 Tokyo Institute of Technology Graduate School, Division of Science and Engineering Department of Mathematics
- 2008 - 2010 Kyushu University Graduate School of Mathematics Department of Mathematics
Professional career (2):
- Doctor of Science (Tokyo Institute of Technology)
- Master of Mathematics (Kyushu University)
Work history (2):
- 2017/04 - 現在 Yokohama National University Faculty of Engineering Division of Intelligent Systems Engineering Associate Professor
- 2013/04 - 2017/03 National Institute of Technology, Miyakonojo College General Education Division (Sciences) Lecturer
Committee career (2):
- 2019/07 - 2021/06 一般社団法人 日本数学会 数学 編集委員会 常任編集委員
- 2018/03 - 2019/02 一般社団法人 日本数学会 地方区代議員
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