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

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

"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
Main Author: Gigli, Nicola (Author)
Format: eBook
Language:English
Published: Providence, RI : American Mathematical Society, [2018]
Series:Memoirs of the American Mathematical Society ; no. 1196.
Subjects:
Geometry, Differential.
Nonsmooth optimization.
Spaces of constant curvature.
MATHEMATICS > Geometry > General.
Geometría diferencial
Optimización matemática
Geometry, Differential
Nonsmooth optimization
Spaces of constant curvature
Online Access:Click for online access
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.

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