Document Type
Article
Date
9-24-2008
Disciplines
Mathematics
Description/Abstract
We study gradient Ricci solitons with maximal symmetry. First we show that there are no non-trivial homogeneous gradient Ricci solitons. Thus the most symmetry one can expect is an isometric cohomogeneity one group action. Many examples of cohomogeneity one gradient solitons have been constructed. However, we apply the main result in our paper "Rigidity of gradient Ricci solitons" to show that there are no noncompact cohomogeneity one shrinking gradient solitons with nonnegative curvature.
Recommended Citation
Petersen, Peter and Wylie, William, "On Gradient Ricci Solitons with Symmetry" (2008). Mathematics - All Scholarship. 128.
https://surface.syr.edu/mat/128
Source
Harvested from arXiv.org
Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.
Additional Information
This manuscript is from arXiv.org, for more information see http://arxiv.org/abs/0710.3595