Nonsmooth Differential Geometry-An Approach Tailored for Spaces with Ricci Curvature Bounded from Below
Author:   Nicola Gigli
Publisher:   American Mathematical Society
ISBN:  

9781470427658


Pages:   161
Publication Date:   30 March 2018
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
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Nonsmooth Differential Geometry-An Approach Tailored for Spaces with Ricci Curvature Bounded from Below


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Overview

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.

Full Product Details

Author:   Nicola Gigli
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.255kg
ISBN:  

9781470427658


ISBN 10:   1470427656
Pages:   161
Publication Date:   30 March 2018
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

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

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Nicola Gigli, SISSA, Trieste, Italy.

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