most citedManifolds with non-negative Ricci curvature and Nash inequalities

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math.DG2005

General Sobolev Inequality on Riemannian Manifold

Qihua Ruan, Zhihua Chen

Let M be a complete n-dimensional Riemannian manifold, if the sobolev inqualities hold on M, then the geodesic ball has maximal volume growth; if the Ricci curvature of M is nonneg…

math.DG2004★ 1 cited

Manifolds with non-negative Ricci curvature and Nash inequalities

Qihua Ruan, Zhihua Chen

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 l.