A splitting theorem for manifolds of almost nonnegative Ricci curvature |
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| Authors: | Mingliang Cai |
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| Institution: | (1) Department of Mathematics and Computer Science, University of Miami, 33124 Coral Gables, FL, USA |
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| 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. |
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| Keywords: | Manifolds of almost nonnegative Ricci curvature splitting |
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