Fundamental regions for non-isometric group actions
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Acceso en línea: | |
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| _version_ | 1866908152213012480 |
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| author | Leistner, Thomas Teisseire, Stuart |
| author_facet | Leistner, Thomas Teisseire, Stuart |
| contents | We generalise results about isometric group actions on metric spaces and their fundamental regions to the context of merely continuous group actions. In particular, we obtain results that yield the relative compactness of a fundamental region for a cocompact group action. As a consequence, we obtain a criterion for a cocompact cyclic group of semi-Riemannian homotheties to be inessential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_11082 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Fundamental regions for non-isometric group actions Leistner, Thomas Teisseire, Stuart Group Theory Differential Geometry 54H11, 22F99, 54B15, 53C18 We generalise results about isometric group actions on metric spaces and their fundamental regions to the context of merely continuous group actions. In particular, we obtain results that yield the relative compactness of a fundamental region for a cocompact group action. As a consequence, we obtain a criterion for a cocompact cyclic group of semi-Riemannian homotheties to be inessential. |
| title | Fundamental regions for non-isometric group actions |
| topic | Group Theory Differential Geometry 54H11, 22F99, 54B15, 53C18 |
| url | https://arxiv.org/abs/2112.11082 |