Rchr
J-GLOBAL ID：200901086015470275
Update date: Aug. 05, 2024
Masatomo Takahashi
タカハシ マサトモ | Masatomo Takahashi
Affiliation and department：
Job title：
Professor
Other affiliations (1)：
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Muroran Institute of Technology
College of Liberal Arts Mathematical Science Research Unit The Center for Fundamental Education in Science and Engineering
Professor
Research field (2)：
Other
, Geometry
Research keywords (3)：
Differential geometry
, Differential equations
, Singularity Theory
Research theme for competitive and other funds (5)：
- 2020 - 2023 枠付き曲線、枠付き曲面論の構築とその応用
- 2017 - 2019 特異点を許容する曲面論と特異点論の研究
- 2014 - 2016 微分幾何学の特異点論的研究とその応用
- 2011 - 2013 微分方程式の特異点論的研究と微分幾何学への応用
- 2007 - 2009 微分方程式と微分幾何学の双対性に関する特異点論的研究
Papers (61)：
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Liang Chen, Masatomo Takahashi. Lightcone framed curves in the Lorentz-Minkowski 3-space. Turkish Journal of Mathematics. 2024
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Liang Chen, Shyuichi Izumiya, Masatomo Takahashi. Duality and geometry of horocyclic evolutes in hyperbolic plane. Research in the Mathematical Sciences. 2024
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Shun'ichi Honda, Masatomo Takahahsi, Haiou Yu. Bertrand and Mannheim curves of framed curves in the 4-dimensional Euclidean space. Journal of Geometry. 2023. 114. 2. 1-24
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Enze Li, Donghe Pei, Masatomo Takahashi. Enveloids of Legendre Curves in the Unit Tangent Bundle over the Euclidean Plane. Bulletin of the Malaysian Mathematical Sciences Society. 2022. 45. 3011-3041
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Yutaro Kabata, Masatomo Takahashi. One-parameter families of Legendre curves and plane line congruences. Mathematische Nachrichten. 2022. 295. 1533-1561
ｍore...
MISC (3)：
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高橋雅朋. Evolutes and involutes of fronts in the Euclidean plane. 数理解析研究所講究録. 2013. 1868. 83-100
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高橋雅朋. Caustics and wave front propagations. 数理解析研究所講究録. 2010. 1707. 135-148
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高橋雅朋. Differential geometry and singularity theory. 数理解析研究所講究録. 2009. 1623. 35-53
Lectures and oral presentations (58)：
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On vertices of frontals in the Euclidean plane
(WORKSHOP on Algebraic and Analytic Singularities)
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On generalised framed surfaces in the Euclidean 3-space
(Singularities of differentiable maps and its applications 2023)
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枠付き曲面の測地線について
(可微分写像の特異点論とその応用 2023)
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枠付き曲面の測地線について
(位相幾何・微分幾何及びその周辺分野への特異点論の応用 2022)
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Envelopes of families of framed surfaces and singular solutions of first order partial differential equations
(6th International Workshop on Singularities in Generic Geometry and its Applications 2019)
ｍore...
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