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On the regular-convexity of Ricci shrinker limit spaces by Huang, Shaosai; Li, Yu; Wang, Bing is a scholarly article available to read on EtoBox.

What is On the regular-convexity of Ricci shrinker limit spaces about?

In this paper, we study the structure of the pointed-Gromov-Hausdorff limits of sequences of Ricci shrinkers. We define a regular-singular decomposition following the work of Cheeger-Colding for manifolds with a uniform Ricci curvature lower bound, and prove that the regular part of any Ricci shrinker limit space is convex, inspired by Colding-Naber's original idea of parabolic smoothing of the distance functions.

Author

Huang, Shaosai; Li, Yu; Wang, Bing

Published

2018

Language

EN