Some properties of non-compact complete Riemannian manifolds

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dc.creatorMa, Li
dc.date2004-12-03
dc.date.accessioned2026-07-07T05:14:55Z
dc.date.available2026-07-07T05:14:55Z
dc.descriptionIn this paper, we study the volume growth property of a non-compact complete Riemannian manifold $X$. We improve the volume growth theorem of Calabi (1975) and Yau (1976), Cheeger, Gromov and Taylor (1982). Then we use our new result to study gradient Ricci solitons. We also show that on $X$, for any $q\in (0,\infty)$, every non-negative $L^q$ subharmonic function is constant under a natural decay condition on the Ricci curvature.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0412068
dc.identifierhttp://arxiv.org/abs/math/0412068
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73470
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53Cxx
dc.titleSome properties of non-compact complete Riemannian manifolds
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