Lie solutions of Riemannian transport equations on compact manifolds

Author:

Delanoë Ph.

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Geometry and Topology,Analysis

Reference18 articles.

1. Nonlinear Analysis on Manifolds. Monge–Ampère Equations;Aubin,1982

2. Méthodes Mathématiques de la Mécanique Classique;Arnol'd,1976

3. On symplectic classification of effective 3-forms and Monge–Ampère equations;Banos;Diff. Geom. Appl.,2003

4. Einstein Manifolds;Besse,1987

5. Polar factorization and monotone rearrangement of vector-valued functions;Brenier;Comm. Pure Appl. Math.,1991

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1. A note on optimal transport and Monge-Ampère geometry;Journal of Geometry and Physics;2023-04

2. A McLean Theorem for the moduli space of Lie solutions to mass transport equations;Differential Geometry and its Applications;2011-12

3. Regularity of optimal transport on compact, locally nearly spherical, manifolds;Journal für die reine und angewandte Mathematik (Crelles Journal);2010-01

4. Differential Geometric Heuristics for Riemannian Optimal Mass Transportation;Differential Equations - Geometry, Symmetries and Integrability;2009

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