A Remark on the Potentials of Optimal Transport Maps
Differential Geometry
2010-06-22 v1 Dynamical Systems
Abstract
Optimal maps, solutions to the optimal transportation problems, are completely determined by the corresponding c-convex potential functions. In this paper, we give simple sufficient conditions for a smooth function to be c-convex when the cost is given by minimizing a Lagrangian action.
Keywords
Cite
@article{arxiv.1006.3917,
title = {A Remark on the Potentials of Optimal Transport Maps},
author = {Paul W. Y. Lee},
journal= {arXiv preprint arXiv:1006.3917},
year = {2010}
}
Comments
20 pages