Calculus of Variations and Geometric Measure Theory
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N. Gigli - S. Mosconi

The Abresch-Gromoll inequality in a non-smooth setting

created by gigli on 18 Sep 2012

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Submitted Paper

Inserted: 18 sep 2012
Last Updated: 18 sep 2012

Year: 2012

Abstract:

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


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