On ends of finite-volume noncompact manifolds of nonpositive curvature
In this paper we confirm a folklore conjecture which suggests that for a complete noncompact manifold M of finite volume with sectional curvature − 1 ≤ K ≤ 0 , if the universal cover of M is a visibility manifold, then the fundamental group of each end of M is almost nilpotent.
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| Veröffentlicht in: | Inventiones mathematicae 2024-08, Vol.237 (2), p.735-777 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper we confirm a folklore conjecture which suggests that for a complete noncompact manifold
M
of finite volume with sectional curvature
−
1
≤
K
≤
0
, if the universal cover of
M
is a visibility manifold, then the fundamental group of each end of
M
is almost nilpotent. |
|---|---|
| ISSN: | 0020-9910 1432-1297 |
| DOI: | 10.1007/s00222-024-01266-0 |