A Note on the Stability of Geodesics on Diffeomorphism Groups with One-side Invariant Metric
Sign Up to like & getrecommendations! Published in 2020 at "Acta Mathematica Sinica, English Series"
DOI: 10.1007/s10114-020-8036-y
Abstract: In this note, we consider the stability of geodesics on volume-preserving diffeomorphism groups with one-side invariant metric. We showed that for non-Beltrami fields on a three-dimensional compact manifold, there does not exist Eulerian stable flow… read more here.
Keywords: diffeomorphism groups; invariant metric; one side; groups one ... See more keywords
Invariant metric on the extended Siegel–Jacobi upper half space
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2020.104049
Abstract: Abstract The real Jacobi group G n J ( R ) , defined as the semidirect product of the Heisenberg group H n ( R ) with the symplectic group Sp ( n , R… read more here.
Keywords: jacobi; half space; invariant metric; jacobi upper ... See more keywords