The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces
Author:   Karl-Theodor Sturm
Publisher:   American Mathematical Society
Volume:   Volume: 290 Number: 1443
ISBN:  

9781470466961


Pages:   111
Publication Date:   31 January 2024
Format:   Paperback
Availability:   In Print   Availability explained
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The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces


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Overview

Equipped with the L2,q-distortion distance 𝚫2,q, the space 𝕏2,q of all metric measure spaces (X, ｄ, 𝔪) is proven to have nonnegative curvature in the sense of Alexandrov. Geodesics and tangent spaces are characterized in detail. Moreover, classes of semiconvex functionals and their gradient flows on ̅𝕏2,q are presented.

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Author:   Karl-Theodor Sturm
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   Volume: 290 Number: 1443
Weight:   0.272kg
ISBN:  

9781470466961


ISBN 10:   1470466961
Pages:   111
Publication Date:   31 January 2024
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.

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Karl-Theodor Sturm, University of Bonn, Germany.

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