New Examples Satisfying Ma-Trudinger-Wang Conditions

In this paper, we study the Ma-Trudinger-Wang (MTW) conditions for cost functions $c$ which are of the form $c=l\circ d$, where $d$ is a Riemannian distance function with constant sectional curvature. In this case, the MTW conditions are equivalent to some computable conditions on the function $l$....

Full description

Bibliographic Details
Main Authors: Lee, Paul W. Y. (Author), Li, Jiayong (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Society for Industrial and Applied Mathematics, 2012-05-04T22:13:36Z.
Subjects:
Online Access:Get fulltext
LEADER 01175 am a22002053u 4500
001 70520
042 |a dc 
100 1 0 |a Lee, Paul W. Y.  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
100 1 0 |a Li, Jiayong  |e contributor 
100 1 0 |a Li, Jiayong  |e contributor 
700 1 0 |a Li, Jiayong  |e author 
245 0 0 |a New Examples Satisfying Ma-Trudinger-Wang Conditions 
260 |b Society for Industrial and Applied Mathematics,   |c 2012-05-04T22:13:36Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/70520 
520 |a In this paper, we study the Ma-Trudinger-Wang (MTW) conditions for cost functions $c$ which are of the form $c=l\circ d$, where $d$ is a Riemannian distance function with constant sectional curvature. In this case, the MTW conditions are equivalent to some computable conditions on the function $l$. As a corollary, we give some new costs on Riemannian manifolds of constant negative curvature for which the MTW conditions are satisfied. 
520 |a Natural Sciences and Engineering Research Council of Canada (NSERC) 
546 |a en_US 
655 7 |a Article 
773 |t SIAM Journal on Mathematical Analysis