The Splitting Theorem in Non-Smooth Context
Published on 28. February 2026
Book
Paperback/Softback
117 pages
978-1-4704-7779-0 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-7779-0 (9781470477790)
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Schweitzer Classification
Person
Nicola Gigli, Universite de Nice, France
Content
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
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