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Nonsmooth differential geometry : an approach tailored for spaces with Ricci curvature bounded from below /

"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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Gigli, Nicola (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, RI : American Mathematical Society, [2018]
Series:Memoirs of the American Mathematical Society ; no. 1196.
Subjects:
Online Access:Texto completo
Table of Contents:
  • Introduction Chapter 1. The machinery of $L^p(\mm)$-normed modules Chapter 2. First order differential structure of general metric measure spaces Chapter 3. Second order differential structureof $\RCD (K, \infty)$ spaces.