Uniqueness of asymptotically cylindrical gradient shrinking Ricci solitons
Differential Geometry
2014-12-23 v4
Abstract
In this paper we prove that any asymptotically cylindrical gradient shrinking Ricci soliton is isometric to a cylinder.
Keywords
Cite
@article{arxiv.1311.7499,
title = {Uniqueness of asymptotically cylindrical gradient shrinking Ricci solitons},
author = {Giovanni Catino and Alix Deruelle and Lorenzo Mazzieri},
journal= {arXiv preprint arXiv:1311.7499},
year = {2014}
}
Comments
There is a gap in the proofs of Theorem 4.2 and 5.3 due to the lack of Schauder estimates for the weighted laplacian