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BOUNDS ON VOLUME GROWTH OF GEODESIC BALLS FOR EINSTEIN WARPED PRODUCTS.
- Source :
-
Proceedings of the American Mathematical Society . Oct2015, Vol. 143 Issue 10, p4415-4422. 8p. - Publication Year :
- 2015
-
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 products. In particular, we present an obstruction for the existence of such a class of manifolds. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 143
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 108643303
- Full Text :
- https://doi.org/10.1090/S0002-9939-2015-12606-8