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 Böhm in the Einstein case. We also carry out numerical investigations for selected orbit types.
Citation
Andrew S. Dancer. Stuart J. Hall. McKenzie Y. Wang. "Cohomogeneity one shrinking Ricci solitons: An analytic and numerical study." Asian J. Math. 17 (1) 33 - 62, March 2013.
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