Ricci curvature and conformality of Riemannian manifolds to spheres

Details Ricci curvature and conformality of Riemannian manifolds to spheres Ricci curvature and conformality of Riemannian manifolds to spheres

2007-10-10

arxiv.org/abs/0710.2033v3

Mathematics

Differential Geometry

8 pages

Scientific paper

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.

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