General Sobolev Inequality on Riemannian Manifold

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73743Let 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 $R^{n}$.4 pagesDifferential GeometryGeometric Topology53C20, 53C21General Sobolev Inequality on Riemannian Manifoldtext