Second order differentiation formula on RCD(K,N) spaces

2018/07/17 by Gigli, Nicola, Tamanini, Luca
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1807.06276

Abstract

We prove the second order differentiation formula along geodesics in finite-dimensional RCD(K,N) spaces. Our approach strongly relies on the approximation of W₂-geodesics by entropic interpolations and, in order to implement this approximation procedure, on the proof of new (even in the smooth setting) estimates for such interpolations.

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