Weighted Sobolev inequalities and Ricci flat manifolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We prove a weighted Sobolev inequality and a Hardy inequality on manifolds with nonnegative Ricci curvature satisfying an inverse doubling volume condition. It enables us to obtain rigidity results for Ricci flat manifolds, generalizing earlier work of Bando, Kasue and Nakajima.

Keywords

Differential Geometry, 53C21 ; 53C25 ; 46E35

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/108880

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602136
 http://arxiv.org/abs/math/0602136

Collections

arXiv