Rigidity of gradient Ricci Solitons
Differential Geometry
2007-10-18 v1
Abstract
We define a gradient Ricci soliton to be rigid if it is a flat bundle where 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.
Keywords
Cite
@article{arxiv.0710.3174,
title = {Rigidity of gradient Ricci Solitons},
author = {Peter Petersen and William Wylie},
journal= {arXiv preprint arXiv:0710.3174},
year = {2007}
}
Comments
16 pages