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New examples on spaces of negative sectional curvature satisfying Ma-Trudinger-Wang conditions
- Publication Year :
- 2009
-
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.<br />Comment: 17 pages
- Subjects :
- Mathematics - Analysis of PDEs
35J70
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0911.3978
- Document Type :
- Working Paper