Lecture 7: The Monge-Ampére Equation and Optimal Transport on Riemannian Manifolds

2021 ◽  
pp. 65-76
Author(s):  
Luigi Ambrosio ◽  
Elia Brué ◽  
Daniele Semola
Keyword(s):  
Riemannian Manifolds ◽  
Optimal Transport ◽  
Monge Ampere

scholarly journals Monge–Ampère Equations on Riemannian Manifolds

1996 ◽  
Vol 132 (1) ◽  
pp. 126-139 ◽  
Author(s):  
Bo Guan ◽  
YanYan Li
Keyword(s):  
Riemannian Manifolds ◽  
Monge Ampere

scholarly journals Optimal Transport via a Monge--Ampère Optimization Problem

2017 ◽  
Vol 49 (4) ◽  
pp. 3073-3124 ◽  
Author(s):  
Michael Lindsey ◽  
Yanir A. Rubinstein
Keyword(s):  
Optimization Problem ◽  
Optimal Transport ◽  
Monge Ampere

scholarly journals Multi-marginal optimal transport on Riemannian manifolds

2015 ◽  
Vol 137 (4) ◽  
pp. 1045-1060 ◽  
Author(s):  
Young-Heon Kim ◽  
Brendan Pass
Keyword(s):  
Riemannian Manifolds ◽  
Optimal Transport
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