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