Continuity, curvature, and the general covariance of optimal transportation

Kim, Young-Heon, and McCann, Robert. "Continuity, curvature, and the general covariance of optimal transportation." Journal of the European Mathematical Society 012.4 (2010): 1009-1040. <http://eudml.org/doc/277212>.

@article{Kim2010,
author = {Kim, Young-Heon, McCann, Robert},
journal = {Journal of the European Mathematical Society},
keywords = {Optimal transportation; regularity of optimal maps; Hölder continuity; curvature; covariance; pseudo-Riemannian; semi-Riemannian; para-Kähler; spacelike Lagrangian; lightlike submanifold; signature (<em>n</em>; <em>n</em>); Monge–Kantorovich; measure-preserving homeomorphism; optimal transportation; regularity of optimal maps; Hölder continuity; curvature; covariance; pseudo-Riemannian; semi-Riemannian; para-Kähler; spacelike Lagrangian; lightlike submanifold; signature ; Monge-Kantorovich; measure-preserving homeomorphism},
language = {eng},
number = {4},
pages = {1009-1040},
publisher = {European Mathematical Society Publishing House},
title = {Continuity, curvature, and the general covariance of optimal transportation},
url = {http://eudml.org/doc/277212},
volume = {012},
year = {2010},
}

TY - JOUR
AU - Kim, Young-Heon
AU - McCann, Robert
TI - Continuity, curvature, and the general covariance of optimal transportation
JO - Journal of the European Mathematical Society
PY - 2010
PB - European Mathematical Society Publishing House
VL - 012
IS - 4
SP - 1009
EP - 1040
LA - eng
KW - Optimal transportation; regularity of optimal maps; Hölder continuity; curvature; covariance; pseudo-Riemannian; semi-Riemannian; para-Kähler; spacelike Lagrangian; lightlike submanifold; signature (<em>n</em>; <em>n</em>); Monge–Kantorovich; measure-preserving homeomorphism; optimal transportation; regularity of optimal maps; Hölder continuity; curvature; covariance; pseudo-Riemannian; semi-Riemannian; para-Kähler; spacelike Lagrangian; lightlike submanifold; signature ; Monge-Kantorovich; measure-preserving homeomorphism
UR - http://eudml.org/doc/277212
ER -