45 citations · 45 across the 1 of their papers we have counts for
3 papers
math.MG2014
Ricci tensor on spaces
Bang-Xian Han
We obtain an improved Bochner inequality based on the curvature-dimension condition and propose a definition of -dimensional Ricci tensor on metric measure sp…
math.MG2014★ 45 cited
Independence on of weak upper gradients on RCD spaces
Nicola Gigli, Bangxian Han
We study -weak gradients on RCD(K,) metric measure spaces and prove that they all coincide for . On proper spaces, our arguments also cover the extremal situation o…
math.AP2014
The continuity equation on metric measure spaces
Nicola Gigli, Bangxian Han
Aim of this paper is to show that it makes sense to write the continuity equation on a metric measure space and that absolutely continuous curves w.r.t. the distanc…