Abstract
Cheeger and Gromoll proved that a closed Riemannian manifold of nonnegative Ricci curvature is, up to a finite cover, diffeomorphic to a direct product of a simply connected manifold and a torus. In this paper, we extend this theorem to manifolds of almost nonnegative Ricci curvature.
Original language | English (US) |
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Pages (from-to) | 373-385 |
Number of pages | 13 |
Journal | Annals of Global Analysis and Geometry |
Volume | 11 |
Issue number | 4 |
DOIs | |
State | Published - Nov 1 1993 |
Keywords
- MSC 1991: 53C20
- Manifolds of almost nonnegative Ricci curvature
- splitting
ASJC Scopus subject areas
- Analysis
- Political Science and International Relations
- Geometry and Topology