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General Sobolev Inequality on Riemannian Manifold | Qihua Ruan
; Zhihua Chen
; | Date: |
1 Dec 2004 | Subject: | Differential Geometry; Geometric Topology MSC-class: 53C20, 53C21 | math.DG math.GT | Abstract: | 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 nonnegative, and one of the general Sobolev inequalities holds on M, then M is diffeomorphic to $R^{n}$. | Source: | arXiv, math.DG/0501009 | Other source: | [GID 648094] math.DG/0501009 | Services: | Forum | Review | PDF | Favorites |
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