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The space of spaces: curvature bounds an...

Sturm, Karl-Theodor...

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The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces by Sturm, Karl-Theodor ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	11-08-2023
Summary	Equipped with the L^2-distortion distance, the space "X" 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 "X" are presented.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1208.0434

Citation

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AMA 11th EditionReferences

Sturm, Karl-Theodor. The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces. Australian National University. August 11, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/15956

APA 7th EditionReferences

Sturm, Karl-Theodor. (2023). The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces. Australian National University. https://online.provdatabase.com/cite/15956

Chicago 17th EditionReferences

Sturm, Karl-Theodor. The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces. Australian National University. 2023. https://online.provdatabase.com/cite/15956

HarvardReferences

Sturm, Karl-Theodor. (2023). The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/15956. (Accessed 02 October 2025).

Harvard AustraliaReferences

Sturm, Karl-Theodor, 2023, The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/15956>

MLA 9th EditionWorks Cited

Sturm, Karl-Theodor. The space of spaces: curvature bounds and gradient flows on the space of metric measure spaces. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/15956.

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