Document Type
Article
Date
10-16-2007
Disciplines
Mathematics
Description/Abstract
We define a gradient Ricci soliton to be rigid if it is a flat bundle N*GammaRk where N is Einstein. It is known that not all gradient solitons are rigid. Here we offer several natural conditions on the curvature that characterize rigid gradient solitons. Other related results on rigidity of Ricci solitons are also explained in the last section.
Recommended Citation
Petersen, Peter and Wylie, William, "Rigidity of Gradient Ricci Solitons" (2007). Mathematics - All Scholarship. 127.
https://surface.syr.edu/mat/127
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/0710.3174