Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study
Differential Geometry
2011-06-17 v2 Mathematical Physics
math.MP
Abstract
We use analytical and numerical methods to investigate the equations for cohomogeneity one shrinking gradient Ricci solitons. We show the existence of a winding number for this system around the subvariety of phase space corresponding to Einstein solutions and obtain some estimates for it. We prove a non-existence result for certain orbit types, analogous to that of Bohm in the Einstein case. We also carry out numerical investigations for selected orbit types.
Keywords
Cite
@article{arxiv.1105.6195,
title = {Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study},
author = {Andrew S Dancer and Stuart J Hall and Mckenzie Y Wang},
journal= {arXiv preprint arXiv:1105.6195},
year = {2011}
}
Comments
7 figures : references added