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Positivity of Ma-Trudinger-Wang curvature on Riemannian surfaces

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dc.contributor.authorDu, Shi-Zhong
dc.contributor.authorLi, Qi-Rui
dc.date.accessioned2015-06-17T02:35:01Z
dc.date.available2015-06-17T02:35:01Z
dc.date.issued2013-11-16
dc.date.updated2015-12-08T02:49:23Z
dc.description.abstractIn 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
dc.description.sponsorshipThis paper was supported by the Australian Research Council. The first author was partially supported by the National Natural Science Foundation of China (11101106). The second author was also supported by the Chinese Scholarship Council. The authors would like to show their appreciation to Professor Xu-Jia Wang for his encouragement and instructive discussions.en_AU
dc.identifier.issn0944-2669en_AU
dc.identifier.urihttp://hdl.handle.net/1885/13978
dc.publisherSpringer Verlag
dc.rights© Springer-Verlag Berlin Heidelberg 2013
dc.sourceCalculus of Variations and Partial Differential Equations
dc.titlePositivity of Ma-Trudinger-Wang curvature on Riemannian surfaces
dc.typeJournal article
dcterms.dateAccepted2013-10-20
local.bibliographicCitation.issue3-4en_AU
local.bibliographicCitation.lastpage523en_AU
local.bibliographicCitation.startpage495en_AU
local.contributor.affiliationLi, Q-R., Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.authoruidu5081676en_AU
local.identifier.absfor010102 - Algebraic and Differential Geometry
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationu5328909xPUB5
local.identifier.citationvolume51en_AU
local.identifier.doi10.1007/s00526-013-0684-7en_AU
local.identifier.scopusID2-s2.0-84887350733
local.identifier.thomsonID000343885100001
local.publisher.urlhttp://link.springer.com/en_AU
local.type.statusPublished Versionen_AU

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