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Ricci tensor on ${\rm RCD}^*(K,N)$ spaces

Published 1 Dec 2014 in math.MG | (1412.0441v4)

Abstract: We obtain an improved Bochner inequality based on the curvature-dimension condition ${\rm RCD}*(K,N)$ and propose a definition of $N$-dimensional Ricci tensor on metric measure spaces.

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