T. Tauchi

activity

20172025

most citedA generalization of the Kobayashi-Oshima uniformly bounded multiplicity theorem

3 citations · 4 across the 7 of their papers we have counts for

collaborators

8 papers

math.RT2025

Orbit structures on real double flag varieties for the Siegel parabolic subgroups

Kyo Nishiyama, Taito Tauchi

Let $G$ be a connected reductive algebraic group over $R$ , and $H$ its symmetric subgroup. For parabolic subgroups $P_{G} \subset G$ and $P_{H} \subset H$ , the p…

math.RT2025

Real double flag variety for the symmetric pair $(U (p, p), G L_{p} (C))$ and Galois cohomology

Kyo Nishiyama, Taito Tauchi

Let $G$ be the indefinite unitary group $U (p, p)$ , $H ≃ G L_{p} (C)$ its symmetric subgroup, $P_{S}$ the Siegel parabolic subgroup of $G$ , and $B_{H}$ a Borel subgroup of…

math.DG2022

Existence of a conjugate point in the incompressible Euler flow on a three-dimensional ellipsoid

Leandro Lichtenfelz, Taito Tauchi, Tsuyoshi Yoneda

The existence of a conjugate point on the volume-preserving diffeomorphism group of a compact Riemannian manifold M is related to the Lagrangian stability of a solution of the inco…

math.DG2021

Arnold stability and Misiołek curvature

Taito Tauchi, Tsuyoshi Yoneda

Let $M$ be a compact 2-dimensional Riemannian manifold with smooth boundary and consider the incompressible Euler equation on $M$ . In the case that $M$ is the straight periodic cha…

math.RT2021★ 3 cited

A generalization of the Kobayashi-Oshima uniformly bounded multiplicity theorem

Taito Tauchi

Let $P$ be a minimal parabolic subgroup of a real reductive Lie group $G$ and $H$ a closed subgroup of $G$ . Then it is proved by T. Kobayashi and T. Oshima that the regular represe…

math.DG2021★ 1 cited

Some positivity results of the curvature on the group corresponding to the incompressible Euler equation with Coriolis force

Taito Tauchi, Tsuyoshi Yoneda

In this article, we investigate the geometry of a central extension $D_{μ} (S^{2})$ of the group of volume-preserving diffeomorphisms of the 2-sphere equipped with…

math.DG2019

Existence of a conjugate point in the incompressible Euler flow on an ellipsoid

Taito Tauchi, Tsuyoshi Yoneda

Existence of a conjugate point in the incompressible Euler flow on a sphere and an ellipsoid is considered. Misiolek (1996) formulated a differential-geometric criterion (we call M…

math.RT2017

Dimension of the space of intertwining operators from degenerate principal series representations

Taito Tauchi

Let $X$ be a homogeneous space of a real reductive Lie group $G$ . It was proved by T. Kobayashi and T. Oshima that the regular representation $C^{\infty} (X)$ contains each irreduci…

Orbit structures on real double flag varieties for the Siegel parabolic subgroups

Real double flag variety for the symmetric pair (U(p,p),GLp​(C)) and Galois cohomology

Existence of a conjugate point in the incompressible Euler flow on a three-dimensional ellipsoid

Arnold stability and Misiołek curvature

A generalization of the Kobayashi-Oshima uniformly bounded multiplicity theorem

Some positivity results of the curvature on the group corresponding to the incompressible Euler equation with Coriolis force

Existence of a conjugate point in the incompressible Euler flow on an ellipsoid

Dimension of the space of intertwining operators from degenerate principal series representations

Real double flag variety for the symmetric pair $(U (p, p), G L_{p} (C))$ and Galois cohomology