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Ricci curvature and conformality of Riemannian manifolds to spheres

Ricci curvature and conformality of Riemannian manifolds to spheres Abstract In this paper we give bounds on the least eigenvalue of the conformal Laplacian and the Yamabe invariant of a compact Riemannian manifold in terms of the Ricci curvature and the diameter and deduce a sufficient condition for the manifold to be conformally equivalent to a sphere. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

Ricci curvature and conformality of Riemannian manifolds to spheres

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Publisher
de Gruyter
Copyright
Copyright © 2010 by the
ISSN
1867-1152
eISSN
1869-6090
DOI
10.1515/apam.2010.004
Publisher site
See Article on Publisher Site

Abstract

Abstract In this paper we give bounds on the least eigenvalue of the conformal Laplacian and the Yamabe invariant of a compact Riemannian manifold in terms of the Ricci curvature and the diameter and deduce a sufficient condition for the manifold to be conformally equivalent to a sphere.

Journal

Advances in Pure and Applied Mathematicsde Gruyter

Published: Mar 1, 2010

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