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J-GLOBAL ID：200901086015470275   Update date: Oct. 05, 2023

Masatomo Takahashi

タカハシ マサトモ | Masatomo Takahashi
Affiliation and department：
Muroran Institute of Technology College of Liberal Arts Mathematical Science Research Unit The Center for Fundamental Education in Science and Engineering

About Muroran Institute of Technology College of Liberal Arts Mathematical Science Research Unit The Center for Fundamental Education in Science and Engineering


Job title： 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 (59)：
  • 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
  • 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
  • Yutaro Kabata, Masatomo Takahashi. One-parameter families of Legendre curves and plane line congruences. Mathematische Nachrichten. 2022. 295. 1533-1561
  • Masatomo Takahashi, Haiou Yu. Bertrand and Mannheim Curves of Spherical Framed Curves in a Three-Dimensional Sphere. Mathematics. 2022. 10
  • Tomonori Fukunaga, Masatomo Takahashi. Singularities of Translation Surfaces in the Euclidean 3-Space. Results in Mathematics. 2022. 77
ｍore...
MISC (3)：
  • 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
  • 高橋雅朋. Caustics and wave front propagations. 数理解析研究所講究録. 2010. 1707. 135-148
  • 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)：
  • On vertices of frontals in the Euclidean plane
    (WORKSHOP on Algebraic and Analytic Singularities)
  • On generalised framed surfaces in the Euclidean 3-space
    (Singularities of differentiable maps and its applications 2023)
  • 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)
  • 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)
  • 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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