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Nonsmooth Differential Geometry–An Approach Tailored for Spaces with Ricci Curvature Bounded from Below
| eBook ISBN: | 978-1-4704-4266-8 |
| Product Code: | MEMO/251/1196.E |
| List Price: | $78.00 |
| MAA Member Price: | $70.20 |
| AMS Member Price: | $47.00 |
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Nonsmooth Differential Geometry–An Approach Tailored for Spaces with Ricci Curvature Bounded from Below
| eBook ISBN: | 978-1-4704-4266-8 |
| Product Code: | MEMO/251/1196.E |
| List Price: | $78.00 |
| MAA Member Price: | $70.20 |
| AMS Member Price: | $47.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 251; 2018; 161 pp
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.
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Table of Contents
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Chapters
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Introduction
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1. The machinery of $L^p(\mathfrak m)$-normed modules
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2. First order differential structure of general metric measure spaces
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3. Second order differential structureof ${\sf RCD}(K,\infty )$ spaces
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
Volume: 251; 2018; 161 pp
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.
-
Chapters
-
Introduction
-
1. The machinery of $L^p(\mathfrak m)$-normed modules
-
2. First order differential structure of general metric measure spaces
-
3. Second order differential structureof ${\sf RCD}(K,\infty )$ spaces
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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