Abstract
We investigate the topology of a complete Riemannian manifold whose radial curvature at the base point is bounded from below by that of a von Mangoldt surface of revolution. Sphere theorem is generalized to a wide class of metrics, and it is proven that such a manifold of a noncompact type has finitely many ends.
Original language | English |
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Pages (from-to) | 1237-1247 |
Number of pages | 11 |
Journal | Geometric and Functional Analysis |
Volume | 17 |
Issue number | 4 |
DOIs | |
Publication status | Published - Nov 2007 |
Externally published | Yes |
Keywords
- Number of ends
- Radial curvature
- Radius sphere theorem
- Riemannian manifold
- Von Mangoldt surface of revolution
ASJC Scopus subject areas
- Analysis
- Geometry and Topology