The Splitting Theorem in Non-Smooth Context
Author:   Nicola Gigli
Publisher:   American Mathematical Society
ISBN:  

9781470477790


Pages:   117
Publication Date:   28 February 2026
Format:   Paperback
Availability:   In Print   Availability explained
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The Splitting Theorem in Non-Smooth Context


Overview

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Full Product Details

Author:   Nicola Gigli
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
ISBN:  

9781470477790


ISBN 10:   1470477793
Pages:   117
Publication Date:   28 February 2026
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Chapters; Prologue by Luigi Ambrosio; 1. Introduction; 2. Multiples of $\mathrm {b}$ are Kantorovich potentials; 3. The gradient flow of $\mathrm {b}$ preserves the measure; 4. The gradient flow of $\mathrm {b}$ preserves the distance; 5. The quotient space isometrically embeds into the original one; 6. """"Pythagoras' theorem"""" holds; 7. The quotient space has dimension $N-1$; A. Infinitesimal Hilbertianity and behavior of gradient flows; B. Infinitesimal Hilbertianity and behavior of the distance; C. Eulerian and Lagrangian points of view on lower Ricci curvature bounds

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Author Information

Nicola Gigli, Universite de Nice, France

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Latest Reading Guide

MRG 26 2

 

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