Manifolds with non-negative Ricci curvature and Nash inequalities

Qihua Ruan; Zhihua Chen

arxiv: math/0408422 · v1 · submitted 2004-08-30 · 🧮 math.DG · math.AT

Manifolds with non-negative Ricci curvature and Nash inequalities

Qihua Ruan , Zhihua Chen This is my paper

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keywords curvaturenashriccicompletediffeomorphicinequalitiesinequalitymanifold

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We prove that for any complete n-dimensional Riemannian manifold with nonnegative Ricci curvature, if the Nash inequality is satisfied, then it is diffeomorphic to $R^{n}$l.

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Manifolds with non-negative Ricci curvature and Nash inequalities

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