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arXiv · 2407.04131

Ends of (singular) Ricci shrinkers

Alessandro Bertellotti·Reto Buzano
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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.

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Alessandro Bertellotti, Reto Buzano. 2024-07-04. Ends of (singular) Ricci shrinkers. https://doi.org/10.1007/s00029-025-01104-y

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