@article {gigli2018second,
title = {Second order differentiation formula on RCD(K, N) spaces},
journal = {Rendiconti Lincei-Matematica e Applicazioni},
volume = {29},
number = {2},
year = {2018},
pages = {377{\textendash}386},
author = {Nicola Gigli and Luca Tamanini}
}
@article {1802.02463,
title = {Second order differentiation formula on RCD*(K,N) spaces},
year = {2018},
author = {Nicola Gigli and Luca Tamanini}
}
@article {1701.03932,
title = {Second order differentiation formula on compact RCD*(K,N) spaces},
year = {2017},
author = {Nicola Gigli and Luca Tamanini}
}
@article {2013,
title = {The splitting theorem in non-smooth context},
year = {2013},
abstract = {We prove that an infinitesimally Hilbertian $CD(0,N)$ space containing a line splits as the product of $R$ and an infinitesimally Hilbertian $CD(0,N -1)$ space. By {\textquoteleft}infinitesimally Hilbertian{\textquoteright} we mean that the Sobolev space $W^{1,2}(X,d,m)$, which in general is a Banach space, is an Hilbert space. When coupled with a curvature-dimension bound, this condition is known to be stable with respect to measured Gromov-Hausdorff convergence.},
url = {http://preprints.sissa.it/handle/1963/35306},
author = {Nicola Gigli}
}