A Geometric Splitting Theorem

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 m...

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Main Author: Rosales Ortega, José
Format: Working paper
Language: Inglés
Published: 2020
Subjects:
Online Access: http://hdl.handle.net/10669/80320
Summary: 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.