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

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

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 This Edition

ISBN: 9781470442668
Publication date: 30th November -0001
Author: Gigli, Nicola
Publisher: American Mathematical Society
Format: Ebook (PDF)