paper

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

arXiv:2402.14284

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.

15 pages, to appear in Springer Tohoku Series in Mathematics