15 citations · 51 across the 14 of their papers we have counts for
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math.FA2017★ 7 cited
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…
math.FA2017★ 4 cited
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…