Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces 1

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Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces

Name: Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces
Price: 1799 SEK
Availability: InStock
Author: Karl-Theodor Sturm
ISBN: 9781470466961

Karl-Theodor Sturm

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2024

Equipped with the L2,q-distortion distance ?2,q, the space ?2,q of all metric measure spaces (X, ?, ?) 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 ??2,q are presented.

Författare: Karl-Theodor Sturm
Format: Pocket/Paperback
ISBN: 9781470466961
Språk: Engelska
Utgivningsdatum: 2024-01-31
Förlag: American Mathematical Society