The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces
Seiten
2024
American Mathematical Society (Verlag)
978-1-4704-6696-1 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-6696-1 (ISBN)
Equipped with the L2,q-distortion distance ??2,q, this publication proves the space ??2,q of all metric measure spaces to have nonnegative curvature in the sense of Alexandrov, characterising geodesics and tangent spaces in detail.
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.
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.
Karl-Theodor Sturm, University of Bonn, Germany.
Erscheinungsdatum | 03.01.2024 |
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Reihe/Serie | Memoirs of the American Mathematical Society ; Volume: 290 Number: 1443 |
Verlagsort | Providence |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 272 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 1-4704-6696-1 / 1470466961 |
ISBN-13 | 978-1-4704-6696-1 / 9781470466961 |
Zustand | Neuware |
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Buch | Hardcover (2022)
Hanser, Carl (Verlag)
29,99 €