General Sobolev Inequality on Riemannian Manifold

dc.creatorRuan, Qihua
dc.creatorChen, Zhihua
dc.date2005-01-01
dc.date.accessioned2026-07-07T05:15:46Z
dc.date.available2026-07-07T05:15:46Z
dc.descriptionLet 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 $R^{n}$.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math/0501009
dc.identifierhttp://arxiv.org/abs/math/0501009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73743
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject53C20, 53C21
dc.titleGeneral Sobolev Inequality on Riemannian Manifold
dc.typetext

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