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dc.contributor.authorSchultz, Timo
dc.date.accessioned2023-02-06T12:45:27Z
dc.date.available2023-02-06T12:45:27Z
dc.date.issued2023
dc.identifier.citationSchultz, T. (2023). Equivalent Definitions of Very Strict CD(K,N) -spaces. <i>Journal of Geometric Analysis</i>, <i>33</i>(3), Article 108. <a href="https://doi.org/10.1007/s12220-022-01068-x" target="_blank">https://doi.org/10.1007/s12220-022-01068-x</a>
dc.identifier.otherCONVID_176708933
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/85364
dc.description.abstractWe show the equivalence of the definitions of very strict CD(K,N) -condition defined, on one hand, using (only) the entropy functionals, and on the other, the full displacement convexity class DCN. In particular, we show that assuming the convexity inequalities for the critical exponent implies it for all the greater exponents. We also establish the existence of optimal transport maps in very strict CD(K,N) -spaces with finite N.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofseriesJournal of Geometric Analysis
dc.rightsCC BY 4.0
dc.subject.otheroptimal transport
dc.subject.otherRicci curvature
dc.subject.othermetric measure spaces
dc.titleEquivalent Definitions of Very Strict CD(K,N) -spaces
dc.typeresearch article
dc.identifier.urnURN:NBN:fi:jyu-202302061644
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.contributor.oppiaineMatematiikkafi
dc.contributor.oppiaineMathematicsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.relation.issn1050-6926
dc.relation.numberinseries3
dc.relation.volume33
dc.type.versionpublishedVersion
dc.rights.copyright© The Author(s) 2022
dc.rights.accesslevelopenAccessfi
dc.type.publicationarticle
dc.relation.grantnumber312488
dc.relation.grantnumber314789
dc.subject.ysodifferentiaaligeometria
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p16682
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1007/s12220-022-01068-x
dc.relation.funderResearch Council of Finlanden
dc.relation.funderResearch Council of Finlanden
dc.relation.funderSuomen Akatemiafi
dc.relation.funderSuomen Akatemiafi
jyx.fundingprogramResearch costs of Academy Research Fellow, AoFen
jyx.fundingprogramAcademy Project, AoFen
jyx.fundingprogramAkatemiatutkijan tutkimuskulut, SAfi
jyx.fundingprogramAkatemiahanke, SAfi
jyx.fundinginformationThe author also acknowledges the support by the Academy of Finland, projects #314789 and #312488. Funding Open Access funding provided by University of Jyväskylä (JYU).
dc.type.okmA1


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