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arXiv:1407.0809 [math.DG]AbstractReferencesReviewsResources

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

Nicola Gigli

Published 2014-07-03Version 1

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, covariant/exterior derivatives and Ricci curvature.

Categories: math.DG, math.MG
Subjects: 51Fxx
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