INOGUCHI Junichi Professor

Geometry

Organization
Department of Mathematics
Research Interest
Geometry
Keywords
Lie group, Lie algebra, Homogenous space, Hamiltonian system, Contact structure, Thurston geometry

Research Activities

My primal interests are

1)Differential geometric study of differential equations which posses large symmetry groups:

Those differential equations are so-called integrbale systems (derived from differential geometry).

2)Differential geometric study of model spaces of 3-dimensional geometry:

According to Thurston there are eight model spaces of 3-dimensional geometry. The model spaces of Nilgeometry, SL-geometry and Solvgeometry have natural contact structures compatible to the geometric structures. I have been studying these model spaces by virtue of contact structure and homogenous geometry.

Papers:

  • J. Inoguchi, M. I. Munteanu,
    Magnetic Jacobi fields in 3-dimensional Sasakian space forms
    The Journal of Geometric Analysis 32 (2022) Article number 96
  • J. F. Dorfmeister, J. Inoguchi, S.-P. Kobayashi,
    Constant mean curvature surfaces in hyperbolic 3-space via loop groups,
    J. Reine Angew. Math. 686 (2014), 1-36.
  • J. F. Dorfmeister, J. Inoguchi, S.-P. Kobayashi,
    A loop group method for affine harmonic maps into Lie groups,
    Advances in Mathematics, 298 (2016), 207-253.

WebPage

Link

contact

inoguchi(at)math.sci.hokudai.ac.jp