17 citations · 82 across the 44 of their papers we have counts for
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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…
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…
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…
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…