Some triviality results for quasi-Einstein manifolds and Einstein warped products
Differential Geometry
2018-11-14 v3
Abstract
In this paper we prove a number of triviality results for Einstein warped products and quasi-Einstein manifolds using different techniques and under assumptions of various nature. In particular we obtain and exploit gradient estimates for solutions of weighted Poisson-type equations and adaptations to the weighted setting of some Liouville-type theorems.
Keywords
Cite
@article{arxiv.1011.0903,
title = {Some triviality results for quasi-Einstein manifolds and Einstein warped products},
author = {Paolo Mastrolia and Michele Rimoldi},
journal= {arXiv preprint arXiv:1011.0903},
year = {2018}
}
Comments
15 pages, fixed minor mistakes in Section 3