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math.DG2021
Arnold stability and Misiołek curvature
Taito Tauchi, Tsuyoshi Yoneda
Let be a compact 2-dimensional Riemannian manifold with smooth boundary and consider the incompressible Euler equation on . In the case that is the straight periodic cha…
math.RT2021★ 3 cited
A generalization of the Kobayashi-Oshima uniformly bounded multiplicity theorem
Taito Tauchi
Let be a minimal parabolic subgroup of a real reductive Lie group and a closed subgroup of . 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 of the group of volume-preserving diffeomorphisms of the 2-sphere equipped with…