Equivalent Definitions of Very Strict CD(K,N) -spaces

Schultz, Timo

doi:10.1007/s12220-022-01068-x

dc.contributor.author	Schultz, Timo
dc.date.accessioned	2023-02-06T12:45:27Z
dc.date.available	2023-02-06T12:45:27Z
dc.date.issued	2023
dc.identifier.citation	Schultz, 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.other	CONVID_176708933
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/85364
dc.description.abstract	We 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.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Springer
dc.relation.ispartofseries	Journal of Geometric Analysis
dc.rights	CC BY 4.0
dc.subject.other	optimal transport
dc.subject.other	Ricci curvature
dc.subject.other	metric measure spaces
dc.title	Equivalent Definitions of Very Strict CD(K,N) -spaces
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-202302061644
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	en
dc.contributor.oppiaine	Matematiikka	fi
dc.contributor.oppiaine	Mathematics	en
dc.type.uri	http://purl.org/eprint/type/JournalArticle
dc.type.coar	http://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatus	peerReviewed
dc.relation.issn	1050-6926
dc.relation.numberinseries	3
dc.relation.volume	33
dc.type.version	publishedVersion
dc.rights.copyright	© The Author(s) 2022
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.relation.grantnumber	312488
dc.relation.grantnumber	314789
dc.subject.yso	differentiaaligeometria
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p16682
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1007/s12220-022-01068-x
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Research Council of Finland	en
dc.relation.funder	Suomen Akatemia	fi
dc.relation.funder	Suomen Akatemia	fi
jyx.fundingprogram	Research costs of Academy Research Fellow, AoF	en
jyx.fundingprogram	Academy Project, AoF	en
jyx.fundingprogram	Akatemiatutkijan tutkimuskulut, SA	fi
jyx.fundingprogram	Akatemiahanke, SA	fi
jyx.fundinginformation	The 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.okm	A1