English

Almost rigidity results of Green functions with non-negative Ricci curvature

Differential Geometry 2024-03-01 v2 Metric Geometry

Abstract

This short note provides a survey on rigidity and almost rigidity results of Green functions in a non-smooth setting. We also make some observation on the Cheeger-Yau inequality on RCD spaces of non-negative Ricci curvature with applications.

Keywords

Cite

@article{arxiv.2402.14284,
  title  = {Almost rigidity results of Green functions with non-negative Ricci curvature},
  author = {Shouhei Honda},
  journal= {arXiv preprint arXiv:2402.14284},
  year   = {2024}
}

Comments

15 pages, to appear in Springer Tohoku Series in Mathematics