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

[BibTeX]

Accepted Paper

Inserted: 10 dec 2015
Last Updated: 30 oct 2017

Journal: Geom. Funct. Anal.
Year: 2015

ArXiv: 1512.03113 PDF

Abstract:

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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