15 citations · 51 across the 14 of their papers we have counts for
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Characterizations of monotonicity of vector fields on metric measure spaces
Bang-Xian Han
We characterize the convexity of functions and the monotonicity of vector fields on metric measure spaces with Riemannian Ricci curvature bounded from below. Our result offers a ne…
Ricci tensor on smooth metric measure space with boundary
Bang-Xian Han
The aim of this note is to study the measure-valued Ricci tensor on smooth metric measure space with boundary, which is a generalization of Bakry-Emery's modified Ricci tensor on w…
New characterizations of Ricci curvature on RCD metric measure spaces
Bang-Xian Han
We prove that on a large family of metric measure spaces, if the -gradient estimate for heat flows holds for some , then the -gradient estimate also holds. This resu…
Angles between curves in metric measure spaces
Bang-Xian Han, Andrea Mondino
The goal of the paper is to study the angle between two curves in the framework of metric (and metric measure) spaces. More precisely, we give a new notion of angle between two cur…