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Researcher Information

last modified:2017/05/23

Professor HASEGAWA Kazuyuki

Laboratory Website

Faculty, Affiliation

Faculty of Education, Institute of Human and Social Sciences

College and School Educational Field

Division of Mathematics Education, Graduate School of Education
School of Teacher Education, College of Human and Social Sciences

Laboratory

Academic Background

【Academic background(Doctoral/Master's Degree)】
Tokyo University of Science  Doctor Completed
【Academic background(Bachelor's Degree)】
Tokyo University of Science
【Degree】
Ph. D

Career

Tokyo University of Science(2002/04/01-2007/03/31)
Tokyo University of science(2007/04/01-2009/03/31)
Kanazawa University(2009/04/01-)
Musashi Institute of Technology(2002/04/01-2009/03/31)

Year & Month of Birth

Academic Society

Mathematical Society of Japan

Award

Specialities

Geometry

Speciality Keywords

Research Themes

submanifold geometry

Books

Papers

  •  Twistor holomorphic affine surfaces and projective invariants K. Hasegawa SUT J. Math. 50 2 325-341 2015
  •  Extremal Lorentzian surfaces with null r-planar geodesics in space forms K. Hasegawa, K. Miura Tohoku Math. J. 67 4 611-634 2015
  •  Twistor holomorphic affine surfaces and projective invariants K. Hasegawa 49-56 2015
  •  The first Chern class and conformal area for a twistor holomorphic immersion K. Hasegawa Abh. Math. Semin. Univ. Hambg. 84 1 67-83 2014/01
  •  Surfaces of genus zero in self-dual Einstein manifolds whose twistor lifts are harmonic sections 2012/11

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  •  A Lorentzian surface in a four-dimensional manifold of neutral signature and its reflector lift 26 71-83 2012/09
  •  Surfaces in self-dual Einstein manifolds and their twistor lifts DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS 29 S220-S226 2011/06
  •  SURFACES IN FOUR-DIMENSIONAL HYPERKAHLER MANIFOLDS WHOSE TWISTOR LIFTS ARE HARMONIC SECTIONS Hasegawa, Kazuyuki PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 139 1 309-317 2011
  •  Surfaces in four-dimensional hyperkaehler manifolds whose twistor lifts are harmonic sections K. Hasegawa PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 139 309-317 2011/01
  •  Surfaces in hyperkaehler manifolds whose twistor lifts are harmonic sections 2010/11
  •  On surfaces of low genus whose twistor lifts are harmonic sections Journal of Geometry and Symmetry in Physics 17 35-43 2010/10
  •  Stability of twistor lifts for surfaces in four-dimensional manifolds as harmonic sections 59 1326-1338 2009
  •  A generalization of Cartan's identities for isoparametric hypersurfaces and its applications N. Abe 52 197-210 2008
  •  On surfaces whose twistor lifts are harmonic sections 57 1549-1566 2007
  •  Affine differential geometry of the unit normal vector fields of hypersurfaces in the real space forms 35 613-627 2006
  •  Harmonic sections of normal bundles for submanifolds and their stability 83 57-64 2005
  •  Certain stability of the identity maps on principal bundles with Kaluza-Klein metric for the energy functionals 4 209-223 2004
  •  Harmonic sections normal to submanifolds and their stability 27 457-468 2004
  •  An affine submersion with horizontal distribution and its applications N. Abe 14 235-250 2001
  •  The index and certain stability of minimal anti invariant submanifolds in Sasakian and Kaehler manifolds 25 465-479 2001
  •  The fundamental theorems for affine immersions into hyperquadrics and its applications 131 37-48 2000
  •  Certain metrics on a principal fiber bundle and variational problems 33  239-255 1997

Conference Presentations

  • Twistor holomorphic affine surfaces and projective invariants(2014/09/04)
  • Lorentzian surfaces in pseudo-Riemannian space forms and their reflector lifts(2012/09/10)
  • Surfaces in hyperk{\" a}hler manifolds whose twistor lifts are harmonic sections,
  • The fundamental theorems for affine immersions into hyperquadrics
  • Twistor lifts and factorization for conformal maps of a surface(conference:20th International Workshop on Hermitian Symmetric Spaces and Submanifolds)(2016/07/28)

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  • An inclusive immersion in a quaternionic manifold and its invariants(conference:Quaternion differential geometry and related topics)(2016/09/08)
  • A quaternionic Willmore immersion(2016/09/17)
  • A quaternionic invariant for an inclusive immersion(2016/09/17)
  • Twistor lifts and factorization for conformal maps of a surface Ⅱ(2016/03/16)
  • Twistor lifts and factorization for conformal maps of a surface Ⅰ(2016/03/16)

Arts and Fieldwork

Patent

Theme to the desired joint research

Grant-in-Aid for Scientific Research

○「4次元リーマン多様体内の曲面のツイスターリフトを用いた研究」(2008-2011) 
○「四元数ケーラー多様体内の部分多様体のツイスターリフトと四元数複素微分幾何学」(2011-2014) 
○「ツイスタープログラムに基づく四元数ケーラー多様体内の部分多様体の研究」(2015-2018) 

Classes (Bachelors)

○Seminar in Mathematics II(2017)
○Sets and General Topology(2017)
○Studies in Curriculum Design for School Mathematics II(2017)
○Modern Geometry(2017)
○Fundamentals of Geometry B(2017)
○Studies in Curriculum Design for School Mathematics I(2017)
○Exercises in Geometry(2017)
○Fundamentals of Geometry A(2017)
○Applied Geometry(2017)
○Seminar in Mathematics I(2017)
○Practical Seminar for Teaching Profession A / Schoolteacher(2016)
○Practical Seminar for Teaching Profession A / Schoolteacher(2016)
○Practical Seminar for Teaching Profession A / Schoolteacher(2016)
○Matrices and Determinants(2016)
○Seminar in Mathematics I(2016)
○Sets and General Topology(2016)
○Seminar in Mathematics II(2016)
○Applied Geometry(2016)
○Fundamentals of Geometry A(2016)
○Fundamentals of Geometry B(2016)
○Exercises in Geometry(2016)
○Modern Geometry(2016)
○Studies in Curriculum Design for School Mathematics II(2016)
○Practical Seminar for Teaching Profession A / Schoolteacher(2016)
○Practical Seminar for Teaching Profession A / Schoolteacher(2016)
○Studies in Curriculum Design for School Mathematics I(2016)
○Practical Seminar for Teaching Profession A / Schoolteacher(2016)
○Practical Seminar for Teaching Profession A / Schoolteacher(2016)
○Practical Seminar for Teaching Profession A / Schoolteacher(2016)
○Practical Seminar for Teaching Profession A / Schoolteacher(2016)
○Practical Seminar for Teaching Profession A / Schoolteacher(2016)
○Practical Seminar for Teaching Profession A / Schoolteacher(2016)

Classes (Graduate Schools)

○Differential Geometry(2017)
○Differential Geometry(2017)
○Differential Geometry(2017)
○Geometry Ib(2017)
○Geometry Ia(2017)
○Differential Geometry(2017)
○Topics in Curriculum Content of Mathematics B(2016)
○Seminar in Curriculum Content of Mathematics B(2016)

International Project

International Students

Lecture themes

Others (Social Activities)

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