Calculus of Variations and Geometric Measure Theory
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G. De Philippis - N. Gigli

From volume cone to metric cone in the nonsmooth setting

created by gigli on 10 Dec 2015
modified by dephilipp on 10 Oct 2016


Accepted Paper

Inserted: 10 dec 2015
Last Updated: 10 oct 2016

Journal: Geom. Funct. Anal.
Year: 2015


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.


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