A remark on Einstein warped products
Differential Geometry
2018-11-14 v4
Abstract
We prove triviality results for Einstein warped products with non-compact bases. These extend previous work by D.-S. Kim and Y.-H. Kim. The proof, from the viewpoint of "quasi-Einstein manifolds" introduced by J. Case, Y.-S. Shu and G. Wei, rely on maximum principles at infinity and Liouville-type theorems.
Cite
@article{arxiv.1004.3866,
title = {A remark on Einstein warped products},
author = {Michele Rimoldi},
journal= {arXiv preprint arXiv:1004.3866},
year = {2018}
}
Comments
12 pages. Corrected typos. Final version: to appear on Pacific J. Math