| Autor: |
Baues, Oliver, Globke, Wolfgang |
| Rok vydání: |
2015 |
| Předmět: |
|
| Zdroj: |
International Mathematics Research Notices, Volume 2018, Issue 10, 3199-3223 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1093/imrn/rnw320 |
| Popis: |
Let $M$ be a compact connected pseudo-Riemannian manifold on which a solvable connected Lie group $G$ of isometries acts transitively. We show that $G$ acts almost freely on $M$ and that the metric on $M$ is induced by a bi-invariant pseudo-Riemannian metric on $G$. Furthermore, we show that the identity component of the isometry group of $M$ coincides with $G$. |
| Databáze: |
arXiv |
| Externí odkaz: |
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