Nonsmooth Differential Geometry-An Approach Tailored for Spaces with Ricci Curvature Bounded from Below

· American Mathematical Soc.
Ebook
161
Pages
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About this ebook

The author discusses in which sense general metric measure spaces possess a first order differential structure. Building on this, spaces with Ricci curvature bounded from below a second order calculus can be developed, permitting the author to define Hessian, covariant/exterior derivatives and Ricci curvature.

About the author

Nicola Gigli: SISSA, Trieste, Italy

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