报告人：黄章开（中山大学）

报告时间地点：4月15日16:00，知新楼B924

报告题目：Compact harmonic RCD$(K,N)$ spaces are harmonic manifolds

摘要：In this talk, we will introducethe properties and characterizations of harmonic RCD(K, N) spaces, which are the counterparts of harmonic Riemannian manifolds in the non-smooth setting. We prove that a compact RCD(K, N) space is isometric to a locally harmonic Riemannian manifold if it satisfies either of the following harmonicity conditions:

1. the heat kernelrho(x, y, t) depends only on the variable t and the distance between points xand y.

2. the volume of the intersection of two geodesic balls depends only on their radii and the distance between their centers.