English

A relative entropy and a unique continuation result for Ricci expanders

Differential Geometry 2021-01-08 v1 Analysis of PDEs

Abstract

We prove an optimal relative integral convergence rate for two expanding gradient Ricci solitons coming out of the same cone. As a consequence, we obtain a unique continuation result at infinity and we prove that a relative entropy for two such self-similar solutions to the Ricci flow is well-defined.

Keywords

Cite

@article{arxiv.2101.02638,
  title  = {A relative entropy and a unique continuation result for Ricci expanders},
  author = {Alix Deruelle and Felix Schulze},
  journal= {arXiv preprint arXiv:2101.02638},
  year   = {2021}
}

Comments

63 pages

R2 v1 2026-06-23T21:53:19.565Z