English

A rigidity result for ancient Ricci flows

Differential Geometry 2024-06-26 v1

Abstract

Using a size condition of the sharp log Sobolev functional (log entropy) near infinity only, we prove a rigidity result for ancient Ricci flows without sign condition on the curvatures. The result is also related to the problem of identifying type II ancient Ricci flows and their backward limits.

Keywords

Cite

@article{arxiv.2406.17179,
  title  = {A rigidity result for ancient Ricci flows},
  author = {Qi S. Zhang},
  journal= {arXiv preprint arXiv:2406.17179},
  year   = {2024}
}
R2 v1 2026-06-28T17:18:06.888Z