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

Released on by Nicola Gigli
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  • Nonsmooth Differential Geometry-An Approach Tailored for Spaces with Ricci Curvature Bounded from Below Book Detail

  • Author : Nicola Gigli
  • Release Date : 2018-02-23
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 174
  • ISBN 13 : 1470427656
  • File Size : 81,81 MB
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Nonsmooth Differential Geometry-An Approach Tailored for Spaces with Ricci Curvature Bounded from Below by Nicola Gigli PDF Summary

Book Description: 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.

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Lectures on Nonsmooth Differential Geometry

Lectures on Nonsmooth Differential Geometry

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This book provides an introduction to some aspects of the flourishing field of nonsmooth geometric analysis. In particular, a quite detailed account of the firs