Nonsmooth Differential Geometry-an Approach Tailored for Spaces with Ricci Curvature Bounded from Below
Will be published approx. on 30. March 2018
Book
Paperback/Softback
161 pages
978-1-4704-2765-8 (ISBN)
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
College/higher education
Dimensions
Height: 254 mm
Width: 178 mm
Weight
255 gr
ISBN-13
978-1-4704-2765-8 (9781470427658)
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Schweitzer Classification
Person
Nicola Gigli, SISSA, Trieste, Italy.
Content
Introduction
The machinery of $L^p(\mathfrak{m})$-normed modules
First order differential structure of general metric measure spaces
Second order differential structure of $\mathsf{RCD}(K,\infty)$ spaces
Bibliography
The machinery of $L^p(\mathfrak{m})$-normed modules
First order differential structure of general metric measure spaces
Second order differential structure of $\mathsf{RCD}(K,\infty)$ spaces
Bibliography