A Geometric Splitting Theorem
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| Author: | |
|---|---|
| Format: | documento de trabajo |
| Publication Date: | 2019 |
| Description: | Let G = G1...Gl be a connected noncompact semisimple Lie group with Lie algebra g = g_1+g_2+....+ g_l acting topologically transitive on a manifold M. We obtain a geometric splitting of the metric on M that consider metrics on each G_i. Also we obtained a result about the isometry group of the manifold GX~N , where ~N is the universal covering of a leaf N of the normal foliation to the G-orbits. |
| Country: | Kérwá |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/80320 |
| Online Access: | https://hdl.handle.net/10669/80320 |
| Keyword: | Bi-invariant metric Foliation Semisimple Lie group |