Second order differentiation formula on RCD spaces

  • Nicola Gigli

    SISSA, Trieste, Italy
  • Luca Tamanini

    Universität Bonn, Germany


We prove the second order differentiation formula along geodesics in finite-dimensional RCD 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 this article

Nicola Gigli, Luca Tamanini, Second order differentiation formula on RCD spaces. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 29 (2018), no. 2, pp. 377–386

DOI 10.4171/RLM/811