Morse actions of discrete groups on symmetric spaces: Local-to-global principle
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866912542121525248 |
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| author | Kapovich, Michael Leeb, Bernhard Porti, Joan |
| author_facet | Kapovich, Michael Leeb, Bernhard Porti, Joan |
| contents | Our main result is a local-to-global principle for Morse quasigeodesics, maps and actions. As an application of our techniques we show algorithmic recognizability of Morse actions and construct Morse ``Schottky subgroups'' of higher rank semisimple Lie groups via arguments not based on Tits' ping-pong. Our argument is purely geometric and proceeds by constructing equivariant Morse quasiisometric embeddings of trees into higher rank symmetric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_04562 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Morse actions of discrete groups on symmetric spaces: Local-to-global principle Kapovich, Michael Leeb, Bernhard Porti, Joan Differential Geometry Group Theory 22E40, 20F65, 53C35 Our main result is a local-to-global principle for Morse quasigeodesics, maps and actions. As an application of our techniques we show algorithmic recognizability of Morse actions and construct Morse ``Schottky subgroups'' of higher rank semisimple Lie groups via arguments not based on Tits' ping-pong. Our argument is purely geometric and proceeds by constructing equivariant Morse quasiisometric embeddings of trees into higher rank symmetric spaces. |
| title | Morse actions of discrete groups on symmetric spaces: Local-to-global principle |
| topic | Differential Geometry Group Theory 22E40, 20F65, 53C35 |
| url | https://arxiv.org/abs/2301.04562 |