Ricci curvature and conformality of Riemannian manifolds to spheres

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In this paper we give bounds for the first eigenvalue of the conformal Laplacian and the Yamabe invariant of a compact Riemannian manifold, by using conditions on the Ricci curvature and the diameter and deduce certain conditions on the manifold to be conformal to a sphere.
8 pages

Keywords

Differential Geometry, 53C21; 53C25; 58J60; 58J70

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/159296

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.2033
 http://arxiv.org/abs/0710.2033

Collections

arXiv