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dc.contributor.authorNicolussi Golo, Sebastiano
dc.contributor.authorOttazzi, Alessandro
dc.date.accessioned2024-05-23T11:48:56Z
dc.date.available2024-05-23T11:48:56Z
dc.date.issued2024
dc.identifier.citationNicolussi Golo, S., & Ottazzi, A. (2024). Left-invariant distributions diffeomorphic to flat distributions. <i>Geometriae Dedicata</i>, <i>218</i>(2), Article 56. <a href="https://doi.org/10.1007/s10711-024-00905-3" target="_blank">https://doi.org/10.1007/s10711-024-00905-3</a>
dc.identifier.otherCONVID_213513074
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/95124
dc.description.abstractFor a stratified group G, we construct a class of Lie groups endowed with a left-invariant distribution locally diffeomorphic to the flat distribution of G. Vice versa, we show that all Lie groups with a left-invariant distribution that is locally diffeomorphic to the flat distribution of G belong to the class we constructed, if the Lie algebra of G has finite Tanaka prolongation.en
dc.format.mimetypeapplication/pdf
dc.language.isoeng
dc.publisherSpringer Science and Business Media LLC
dc.relation.ispartofseriesGeometriae Dedicata
dc.rightsCC BY 4.0
dc.subject.otherflat distributions
dc.subject.otherTanaka prolongation
dc.subject.otherstratified Lie groups
dc.subject.othercontact structures
dc.subject.otherquasi-conformal maps
dc.titleLeft-invariant distributions diffeomorphic to flat distributions
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-202405233888
dc.contributor.laitosMatematiikan ja tilastotieteen laitosfi
dc.contributor.laitosDepartment of Mathematics and Statisticsen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.relation.issn0046-5755
dc.relation.numberinseries2
dc.relation.volume218
dc.type.versionpublishedVersion
dc.rights.copyright© 2024 the Authors
dc.rights.accesslevelopenAccessfi
dc.relation.grantnumber607643
dc.relation.grantnumber607643
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/FP7/607643/EU//
dc.subject.ysodifferentiaaligeometria
dc.subject.ysoLien ryhmät
dc.format.contentfulltext
jyx.subject.urihttp://www.yso.fi/onto/yso/p16682
jyx.subject.urihttp://www.yso.fi/onto/yso/p39641
dc.rights.urlhttps://creativecommons.org/licenses/by/4.0/
dc.relation.doi10.1007/s10711-024-00905-3
dc.relation.funderEuropean Commissionen
dc.relation.funderEuroopan komissiofi
jyx.fundingprogramFP7 (EU's 7th Framework Programme)en
jyx.fundingprogramEU:n 7. puiteohjelma (FP7)fi
jyx.fundinginformationOpen Access funding enabled and organized by CAUL and its Member Institutions. Sebastiano Nicolussi Golo has been partially supported by the European Unions Seventh Framework Programme, Marie Curie Actions-Initial Training Network, under Grant Agreement No. 607643, “Metric Analysis For Emergent Technologies (MAnET)”, and by the EPSRC Grant "Sub-Elliptic Harmonic Analysis" (EP/P002447/1), and by University of Padova STARS Project "Sub-Riemannian Geometry and Geometric Measure Theory Issues: Old and New". Alessandro Ottazzi has been partially supported by the ARC Discovery grant DP170103025. Data sharing not applicable to this article as no datasets were generated or analysed during the current study.
dc.type.okmA1


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