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Nonsmooth Differential Geometry–An Approach Tailored for Spaces with Ricci Curvature Bounded from Below
 
Nicola Gigli SISSA, Trieste, Italy
Nonsmooth Differential Geometry--An Approach Tailored for Spaces with Ricci Curvature Bounded from Below
Softcover ISBN:  978-1-4704-2765-8
Product Code:  MEMO/251/1196
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $47.00
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
Softcover ISBN:  978-1-4704-2765-8
eBook: ISBN:  978-1-4704-4266-8
Product Code:  MEMO/251/1196.B
List Price: $156.00 $117.00
MAA Member Price: $140.40 $105.30
AMS Member Price: $94.00 $70.50
Nonsmooth Differential Geometry--An Approach Tailored for Spaces with Ricci Curvature Bounded from Below
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Nonsmooth Differential Geometry–An Approach Tailored for Spaces with Ricci Curvature Bounded from Below
Nicola Gigli SISSA, Trieste, Italy
Softcover ISBN:  978-1-4704-2765-8
Product Code:  MEMO/251/1196
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $47.00
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
Softcover ISBN:  978-1-4704-2765-8
eBook ISBN:  978-1-4704-4266-8
Product Code:  MEMO/251/1196.B
List Price: $156.00 $117.00
MAA Member Price: $140.40 $105.30
AMS Member Price: $94.00 $70.50
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2512018; 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.

  • Table of Contents
     
     
    • 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
  • Additional Material
     
     
  • Requests
     
     
    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
Volume: 2512018; 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
Please select which format for which you are requesting permissions.