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