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.
- MSC 1991: 53C20
- Manifolds of almost nonnegative Ricci curvature
ASJC Scopus subject areas
- Political Science and International Relations
- Geometry and Topology