On the weakly conical expanding gradient Ricci solitons
Differential Geometry
2025-03-18 v1
Abstract
In this work, we construct several sequences of metrics on sphere with different limiting behaviors. By combining with the work of Deruelle, we use it and the localized maximum principle to construct various examples of expanding gradient Ricci solitons with positive curvature and exotic curvature decay. This answers a question proposed by Chow-Lu-Ni and also a question by Cao-Liu, respectively.
Cite
@article{arxiv.2503.12416,
title = {On the weakly conical expanding gradient Ricci solitons},
author = {Pak-Yeung Chan and Man-Chun Lee},
journal= {arXiv preprint arXiv:2503.12416},
year = {2025}
}
Comments
18 pages. All comments are welcome