Calculus of Variations and Geometric Measure Theory
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N. Gigli

Nonsmooth differential geometry - An approach tailored for spaces with Ricci curvature bounded from below

created by gigli on 03 Jul 2014

[BibTeX]

Preprint

Inserted: 3 jul 2014
Last Updated: 3 jul 2014

Year: 2014

Abstract:

We discuss in which sense general metric measure spaces possess a first order differential structure. Building on this, we then see that on spaces with Ricci curvature bounded from below a second order calculus can be developed, permitting to define Hessian, covariantexterior derivatives and Ricci curvature.


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