English

Non-collapsing of Ricci shrinkers with bounded curvature

Differential Geometry 2024-12-19 v1

Abstract

We establish a uniform entropy bound for simply connected Ricci shrinkers with a finite second homotopy group and a uniform curvature bound. Additionally, we extend the non-collapsing result to a broader class of smooth metric measure spaces satisfying Bakry-\'Emery conditions.

Keywords

Cite

@article{arxiv.2412.13546,
  title  = {Non-collapsing of Ricci shrinkers with bounded curvature},
  author = {Conghan Dong and Yu Li},
  journal= {arXiv preprint arXiv:2412.13546},
  year   = {2024}
}

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35 pages