Calculus of Variations and Geometric Measure Theory

N. Gigli - S. J. N. Mosconi

The Abresch-Gromoll inequality in a non-smooth setting

created by gigli on 18 Sep 2012


Submitted Paper

Inserted: 18 sep 2012
Last Updated: 18 sep 2012

Year: 2012


We prove that the Abresch-Gromoll inequality holds on infinitesimally Hilbertian CD(K,N) spaces in the same form as the one available on smooth Riemannian manifolds.

Keywords: metric geometry, spaces with Ricci curvature bounded from below