INOGUCHI Junichi Professor

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.

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