Nonsmooth Differential Geometry-An Approach Tailored for Spaces with Ricci Curvature Bounded from Below (Memoirs of the American Mathematical Society)

by Nicola Gigli

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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.
  • ISBN13 9781470427658
  • Publish Date 1 January 2018
  • Publish Status Active
  • Publish Country US
  • Imprint American Mathematical Society
  • Format Paperback
  • Pages 161
  • Language English