Complete Ricci solitons via estimates on the soliton potential
Differential Geometry
2024-10-04 v2
Abstract
In this paper a growth estimate on the soliton potential is shown for a large class of cohomogeneity one manifolds. This is used to construct continuous families of complete steady and expanding Ricci solitons in the set-ups of L\"u-Page-Pope and Dancer-Wang. It also provides a different approach to the two summands system which applies to all known geometric examples.
Keywords
Cite
@article{arxiv.1710.11108,
title = {Complete Ricci solitons via estimates on the soliton potential},
author = {Matthias Wink},
journal= {arXiv preprint arXiv:1710.11108},
year = {2024}
}
Comments
22 pages