New Examples Satisfying Ma–Trudinger–Wang Conditions
Name
Lee-2012-NEW EXAMPLES SATISFY.pdf
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197.37 KB
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Author(s)
Lee, Paul W. Y.
Li, Jiayong
Date Issued
January 2012
Journal
SIAM Journal on Mathematical Analysis
Publisher
Society for Industrial and Applied Mathematics
Citation
Lee, Paul W. Y., and Jiayong Li. “New Examples Satisfying Ma–Trudinger–Wang Conditions.” SIAM Journal on Mathematical Analysis 44.1 (2012): 61. Web. 4 May 2012. © 2012 Society for Industrial and Applied Mathematics
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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DOI of Published Version
https://doi.org/10.1137/110820543
