Ends of (singular) Ricci shrinkers
arXiv:2407.04131 · doi:10.1007/s00029-025-01104-y
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.
V2: Final version with minor revisions. To appear in Selecta Math