$L^p$-cohomology for groups of isometries of Hadamard spaces
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866912087257645056 |
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| author | Hamenstädt, Ursula |
| author_facet | Hamenstädt, Ursula |
| contents | We show that a discrete group $Γ$ which admits a non-elementary isometric action on a Hadamard manifold of bounded negative curvature admits an isometric action on an $L^p$-space $V$ for some $p>1$ with $H^1(Γ,V)\not=0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_01396 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $L^p$-cohomology for groups of isometries of Hadamard spaces Hamenstädt, Ursula Group Theory Differential Geometry 20J06, 20F67, 53C20, 22F10 We show that a discrete group $Γ$ which admits a non-elementary isometric action on a Hadamard manifold of bounded negative curvature admits an isometric action on an $L^p$-space $V$ for some $p>1$ with $H^1(Γ,V)\not=0$. |
| title | $L^p$-cohomology for groups of isometries of Hadamard spaces |
| topic | Group Theory Differential Geometry 20J06, 20F67, 53C20, 22F10 |
| url | https://arxiv.org/abs/2311.01396 |