Bounds on volume growth of geodesic balls for Einstein warped products
Differential Geometry
2014-08-08 v1
Abstract
The purpose of this note is to provide some volume estimates for Einstein warped products similar to a classical result due to Calabi and Yau for complete Riemannian manifolds with nonnegative Ricci curvature. To do so, we make use of the approach of quasi-Einstein manifolds which is directly related to Einstein warped product. In particular, we present an obstruction for the existence of such a class of manifolds.
Keywords
Cite
@article{arxiv.1408.1621,
title = {Bounds on volume growth of geodesic balls for Einstein warped products},
author = {A. Barros and R. Batista and E. Ribeiro},
journal= {arXiv preprint arXiv:1408.1621},
year = {2014}
}
Comments
To appear in Proc. of the American Math. Soc