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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.07541 |
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| _version_ | 1866915723376328704 |
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| author | Di Scala, Antonio J. |
| author_facet | Di Scala, Antonio J. |
| contents | We show that the holonomy group of a connected Riemannian locally symmetric space (not necessarily complete) without local flat factor is compact and has finite index in its normalizer in the orthogonal group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_07541 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The holonomy group of a locally symmetric space Di Scala, Antonio J. Differential Geometry Algebraic Geometry Primary 53C35, Secondary 53C29 We show that the holonomy group of a connected Riemannian locally symmetric space (not necessarily complete) without local flat factor is compact and has finite index in its normalizer in the orthogonal group. |
| title | The holonomy group of a locally symmetric space |
| topic | Differential Geometry Algebraic Geometry Primary 53C35, Secondary 53C29 |
| url | https://arxiv.org/abs/2601.07541 |