HONDA Atsufumi

Affiliation

Faculty of Engineering, Division of Intelligent Systems Engineering

Job Title

Associate Professor

Related SDGs




The Best Research Achievement in Research Career 【 display / non-display

The Best Research Achievement in the last 5 years 【 display / non-display

Graduate School 【 display / non-display

  • 2010.04
    -
    2013.03

    Tokyo Institute of Technology  Graduate School, Division of Science and Engineering  Department of Mathematics  Doctor Course  Completed

  • 2008.04
    -
    2010.03

    Kyushu University  Graduate School of Mathematics  Department of Mathematics  Master Course  Completed

Degree 【 display / non-display

  • Doctor of Science -  Tokyo Institute of Technology

  • Master of Mathematics -  Kyushu University

Campus Career 【 display / non-display

  • 2017.04
    -
    Now

    Duty   Yokohama National UniversityFaculty of Engineering   Division of Intelligent Systems Engineering   Associate Professor  

  • 2018.04
    -
    Now

    Concurrently   Yokohama National UniversityGraduate school of Engineering Science   Department of Mathematics, Physics, Electrical Engineering and Computer Science   Associate Professor  

  • 2017.04
    -
    Now

    Concurrently   Yokohama National UniversityCollege of Engineering Science   Department of Mathematics, Physics, Electrical Engineering and Computer Science   Associate Professor  

  • 2017.04
    -
    Now

    Concurrently   Yokohama National UniversityGraduate School of Engineering   Department of Systems Integration   Associate Professor  

External Career 【 display / non-display

  • 2013.04
    -
    2017.03

    National Institute of Technology, Miyakonojo College   General Education Division (Sciences)   Lecturer  

Field of expertise (Grants-in-aid for Scientific Research classification) 【 display / non-display

  • Geometry

 

Thesis for a degree 【 display / non-display

  • Extrinsically Flat Surfaces

    本田 淳史 

      2013.03

    Doctoral Thesis   Single Work

     View Summary

    東京工業大学 大学院理工学研究科数学専攻 空間形の間の等長はめ込みの分類問題を考える.同じ断面曲率を持つもので余次元1の場合は,完備な外的平坦超曲面として特徴付けられる.本論文では,非平坦3次元空間形の外的平坦曲面の大域的性質を調べた.とくに焦面が平坦波面となる曲面の分類,さらに3次元光錐の主曲率の一つが一定である空間的曲面の大域的な分類を行った.外的平坦曲面は局所的には外の3次元空間形の曲率によらず定まるが,大域的な性質は異なることを特異点集合の構造の観点から明らかにした.

Papers 【 display / non-display

  • Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds

    Atsufumi Honda, Kentaro Saji, Keisuke Teramoto

    Advances in Mathematics     2020.05  [Refereed]

    Single Work

    DOI

  • DUALITY OF SINGULARITIES FOR FLAT SURFACES IN EUCLIDEAN SPACE

    ATSUFUMI HONDA

    Journal of Singularities   21   132 - 148   2020.03  [Refereed]

    Single Work

    DOI

  • Geometric invariants of 5/2-cuspidal edges

    Honda Atsufumi, Saji Kentaro

    KODAI MATHEMATICAL JOURNAL ( 国立大学法人 東京工業大学理学院数学系 )  42 ( 3 )   496 - 525   2019.10  [Refereed]

    Joint Work

     View Summary

    <p>We introduce two invariants called the <i>secondary cuspidal curvature</i> and the <i>bias</i> on 5/2-cuspidal edges, and investigate their basic properties. While the secondary cuspidal curvature is an analog of the cuspidal curvature of (ordinary) cuspidal edges, there are no invariants corresponding to the bias. We prove that the product (called the <i>secondary product curvature</i>) of the secondary cuspidal curvature and the limiting normal curvature is an intrinsic invariant. Using this intrinsicity, we show that any real analytic 5/2-cuspidal edges with non-vanishing limiting normal curvature admit non-trivial isometric deformations, which provides the extrinsicity of various invariants.</p>

    DOI CiNii

  • Isometric realization of cross caps as formal power series and its applications

    Atsufumi Honda, Kosuke Naokawa, Masaaki Umehara, Kotaro Yamada

    Hokkaido Mathematical Journal ( Hokkaido University, Department of Mathematics )  48 ( 1 )   1 - 44   2019.02  [Refereed]

    Joint Work

    Web of Science DOI arXiv

  • Fold singularities on spacelike CMC surfaces in Lorentz-Minkowski space

    Atsufumi Honda, Miyuki Koiso, Kentaro Saji

    Hokkaido Mathematical Journal ( Hokkaido University, Department of Mathematics )  47 ( 2 )   245 - 267   2018.06  [Refereed]

    Joint Work

    Web of Science DOI arXiv

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