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The Splitting Theorem in Non-Smooth Context
| Softcover ISBN: | 978-1-4704-7779-0 |
| Product Code: | MEMO/317/1609 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-8581-8 |
| Product Code: | MEMO/317/1609.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-7779-0 |
| eBook: ISBN: | 978-1-4704-8581-8 |
| Product Code: | MEMO/317/1609.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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The Splitting Theorem in Non-Smooth Context
| Softcover ISBN: | 978-1-4704-7779-0 |
| Product Code: | MEMO/317/1609 |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| eBook ISBN: | 978-1-4704-8581-8 |
| Product Code: | MEMO/317/1609.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-7779-0 |
| eBook ISBN: | 978-1-4704-8581-8 |
| Product Code: | MEMO/317/1609.B |
| List Price: | $170.00 $127.50 |
| MAA Member Price: | $153.00 $114.75 |
| AMS Member Price: | $136.00 $102.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 317; 2026; 117 ppMSC: Primary 51; 58; 53; 46
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Table of Contents
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Chapters
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Prologue by Luigi Ambrosio
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1. Introduction
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2. Multiples of $\mathrm {b}$ are Kantorovich potentials
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3. The gradient flow of $\mathrm {b}$ preserves the measure
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4. The gradient flow of $\mathrm {b}$ preserves the distance
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5. The quotient space isometrically embeds into the original one
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6. “Pythagoras’ theorem” holds
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7. The quotient space has dimension $N-1$
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A. Infinitesimal Hilbertianity and behavior of gradient flows
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B. Infinitesimal Hilbertianity and behavior of the distance
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C. Eulerian and Lagrangian points of view on lower Ricci curvature bounds
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 317; 2026; 117 pp
MSC: Primary 51; 58; 53; 46
-
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
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.