Characterization of higher rank via affine maps
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912593587732480 |
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| author | Lenze, David |
| author_facet | Lenze, David |
| contents | We show that Hadamard spaces with geometric group actions admit affine maps that are not dilations, if and only if they are Riemannian symmetric spaces of higher rank, Euclidean buildings of higher rank, or split as non-trivial metric products. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06456 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterization of higher rank via affine maps Lenze, David Metric Geometry Differential Geometry 53C24, 53C23, 51K10, 51F99 We show that Hadamard spaces with geometric group actions admit affine maps that are not dilations, if and only if they are Riemannian symmetric spaces of higher rank, Euclidean buildings of higher rank, or split as non-trivial metric products. |
| title | Characterization of higher rank via affine maps |
| topic | Metric Geometry Differential Geometry 53C24, 53C23, 51K10, 51F99 |
| url | https://arxiv.org/abs/2504.06456 |