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Positivity of Ma-Trudinger-Wang curvature on Riemannian surfaces

Du, Shi-Zhong; Li, Qi-Rui

Description

In this paper we consider the optimal transportation on Riemannian surfaces when the cost function is squared distance. The main ingredient is the verification of MTW condition. It is known that MTW condition holds if Gauss curvature is sufficiently close to 1 in C² norm. In this paper we give an explicit condition on Gauss curvature such that MTW condition is satisfied

CollectionsANU Research Publications
Date published: 2013-11-16
Type: Journal article
URI: http://hdl.handle.net/1885/13978
Source: Calculus of Variations and Partial Differential Equations
DOI: 10.1007/s00526-013-0684-7

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