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arXiv · 1408.1621

Bounds on volume growth of geodesic balls for Einstein warped products

A. Barros·R. Batista·E. Ribeiro Jr
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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.

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A. Barros, R. Batista, E. Ribeiro Jr. 2014-08-07. Bounds on volume growth of geodesic balls for Einstein warped products. https://arxiv.org/abs/1408.1621

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