On ends of finite-volume noncompact manifolds of nonpositive curvature
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2018
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| _version_ | 1866916263938228224 |
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| author | Ji, Ran Wu, Yunhui |
| author_facet | Ji, Ran Wu, Yunhui |
| contents | In this paper we confirm a folklore conjecture which suggests that for a complete noncompact manifold $M$ of finite volume with sectional curvature $-1 \leq K \leq 0$, if the universal cover of $M$ is a visibility manifold, then the fundamental group of each end of $M$ is almost nilpotent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1812_02295 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | On ends of finite-volume noncompact manifolds of nonpositive curvature Ji, Ran Wu, Yunhui Geometric Topology Differential Geometry In this paper we confirm a folklore conjecture which suggests that for a complete noncompact manifold $M$ of finite volume with sectional curvature $-1 \leq K \leq 0$, if the universal cover of $M$ is a visibility manifold, then the fundamental group of each end of $M$ is almost nilpotent. |
| title | On ends of finite-volume noncompact manifolds of nonpositive curvature |
| topic | Geometric Topology Differential Geometry |
| url | https://arxiv.org/abs/1812.02295 |