Document Type
Article
Date
9-24-2008
Disciplines
Mathematics
Description/Abstract
We show that the only complete shrinking gradient Ricci solitons with vanishing Weyl tensor are quotients of the standard ones. This gives a new proof of the Hamilton-Ivey-Perel'man classification of 3-dimensional shrinking gradient solitons. We also prove a classification for expanding gradient Ricci solitons with constant scalar curvature and suitably decaying Weyl tensor.
Recommended Citation
Petersen, Peter and Wylie, William, "On the Classification of Gradient Ricci Solitons" (2008). Mathematics - All Scholarship. 129.
https://surface.syr.edu/mat/129
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/0712.1298