We prove the second order differentiation formula along geodesics in finite-dimensional RCD(K, N) spaces. Our approach strongly relies on the approximation of W-2-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.
Gigli, N., Tamanini, L., Mathematical Analysis — Second order differentiation formula on RCD(K,N) spaces, <<ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI>>, 2018; 29 (2): 377-386. [doi:10.4171/RLM/811] [https://hdl.handle.net/10807/232498]
Mathematical Analysis — Second order differentiation formula on RCD(K,N) spaces
Tamanini, Luca
2018
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 W-2-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:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
