On the geodesic flow on CAT(0) spaces
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2015
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| _version_ | 1866917976288002048 |
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| author | Charitos, Charalampos Papadoperakis, Ioannis Tsapogas, Georgios |
| author_facet | Charitos, Charalampos Papadoperakis, Ioannis Tsapogas, Georgios |
| contents | Under certain assumptions on CAT(0) spaces, we show that the geodesic flow is topologically mixing. In particular, the Bowen-Margulis' measure finiteness assumption used in recent work of Ricks is removed. We also construct examples of CAT(0) spaces which do not admit finite Bowen-Margulis measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1509_05741 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | On the geodesic flow on CAT(0) spaces Charitos, Charalampos Papadoperakis, Ioannis Tsapogas, Georgios Geometric Topology Differential Geometry Metric Geometry 53C22, 53C22, 57M50 Under certain assumptions on CAT(0) spaces, we show that the geodesic flow is topologically mixing. In particular, the Bowen-Margulis' measure finiteness assumption used in recent work of Ricks is removed. We also construct examples of CAT(0) spaces which do not admit finite Bowen-Margulis measure. |
| title | On the geodesic flow on CAT(0) spaces |
| topic | Geometric Topology Differential Geometry Metric Geometry 53C22, 53C22, 57M50 |
| url | https://arxiv.org/abs/1509.05741 |