Ends of (singular) Ricci shrinkers
Differential Geometry
2025-08-19 v2
Abstract
We estimate the number of ends of smooth and singular Ricci shrinkers focussing first on general ends and later on asymptotically conical ones. In particular, we obtain a variety of applications to sequences of Ricci shrinkers converging in a weak pointed sense to a possibly singular limit Ricci shrinker, for instance no new conical end can form in the limit.
Cite
@article{arxiv.2407.04131,
title = {Ends of (singular) Ricci shrinkers},
author = {Alessandro Bertellotti and Reto Buzano},
journal= {arXiv preprint arXiv:2407.04131},
year = {2025}
}
Comments
V2: Final version with minor revisions. To appear in Selecta Math