We prove the second order differentiation formula along geodesics in finite-dimensional RCDðK;NÞ 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.
Second order differentiation formula on RCD(K,N) spaces / Gigli, Nicola; Tamanini, Luca. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 29:2(2018), pp. 377-386. [10.4171/RLM/811]
Second order differentiation formula on RCD(K,N) spaces
Gigli, Nicola
;Tamanini, Luca
2018-01-01
Abstract
We prove the second order differentiation formula along geodesics in finite-dimensional RCDðK;NÞ 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.File in questo prodotto:
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