Calculus of Variations and Geometric Measure Theory

N. Gigli - G. De Philippis

From volume cone to metric cone in the nonsmooth setting

created by gigli on 10 Dec 2015
modified by dephilipp on 30 Oct 2017


Accepted Paper

Inserted: 10 dec 2015
Last Updated: 30 oct 2017

Journal: Geom. Funct. Anal.
Year: 2015

ArXiv: 1512.03113 PDF


We prove that `volume cone implies metric cone' in the setting of RCD spaces, thus generalising to this class of spaces a well known result of Cheeger-Colding valid in Ricci-limit spaces.