Existence and uniqueness of optimal maps on Alexandrov spaces-Reference-Cited by-同舟云学术

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Existence and uniqueness of optimal maps on Alexandrov spaces

Published:2008-10 Issue:3 Volume:219 Page:838-851
ISSN:0001-8708
Container-title:Advances in Mathematics
language:en
Short-container-title:Advances in Mathematics

Author:

Bertrand Jérôme

Publisher

Elsevier BV

Subject

General Mathematics

Reference22 articles.

1. Gradient flows in metric spaces and in the space of probability measures;Ambrosio,2005

2. Existence of optimal transport maps for crystalline norms;Ambrosio;Duke Math. J.,2004

3. Existence and stability results in the L1 theory of optimal transportation;Ambrosio,2003

4. Optimal mass transportation in the Heisenberg group;Ambrosio;J. Funct. Anal.,2004

5. The Monge problem for supercritical Mañé potentials on compact manifolds;Bernard;Adv. Math.,2006

Cited by 22 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Optimal maps and local-to-global property in negative dimensional spaces with Ricci curvature bounded from below;Tohoku Mathematical Journal;2023-12-01

2. Optimal transport maps on Alexandrov spaces revisited;manuscripta mathematica;2021-08-20

3. On Weak Super Ricci Flow through Neckpinch;Analysis and Geometry in Metric Spaces;2021-01-01

4. On a mixture of Brenier and Strassen Theorems;Proceedings of the London Mathematical Society;2020-03

5. Existence of optimal transport maps in very strict $$CD(K,\infty )$$ C D ( K , ∞ ) -spaces;Calculus of Variations and Partial Differential Equations;2018-08-23

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