Second order differentiation formula on $RCD(K,N)$ spaces
Analysis of PDEs
2018-07-18 v1
Abstract
We prove the second order differentiation formula along geodesics in finite-dimensional spaces. Our approach strongly relies on the approximation of -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.
Cite
@article{arxiv.1807.06276,
title = {Second order differentiation formula on $RCD(K,N)$ spaces},
author = {Nicola Gigli and Luca Tamanini},
journal= {arXiv preprint arXiv:1807.06276},
year = {2018}
}
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