1. NEW EXAMPLES SATISFYING MA-TRUDINGER-WANG CONDITIONS.
- Author
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Lee, Paul W. Y. and Jiayong Li
- Subjects
- *
RIEMANNIAN manifolds , *MATHEMATICAL constants , *MATHEMATICAL functions , *CURVATURE , *DIFFERENTIAL geometry , *MANIFOLDS (Mathematics) , *MATHEMATICAL models - Abstract
In this paper, we study the Ma-Trudinger-Wang (MTW) conditions for cost functions c which are of the form c = l o 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. [ABSTRACT FROM AUTHOR]
- Published
- 2012
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