On a classification of the gradient shrinking solitons
Differential Geometry
2007-10-18 v1 Analysis of PDEs
Abstract
The main purpose of this article is to provide an alternate proof to a result of Perelman on gradient shrinking solitons. In dimension three we also generalize the result by removing the -non-collapsing assumption. In high dimension this new method allows us to prove a classification result on gradient shrinking solitons with vanishing Weyl curvature tensor, which includes the rotationally symmetric ones.
Cite
@article{arxiv.0710.3194,
title = {On a classification of the gradient shrinking solitons},
author = {Lei Ni and Nolan Wallach},
journal= {arXiv preprint arXiv:0710.3194},
year = {2007}
}