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  
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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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Author Information

Nicola Gigli, SISSA, Trieste, Italy.

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