Left-invariant distributions diffeomorphic to flat distributions

Nicolussi Golo, Sebastiano; Ottazzi, Alessandro

doi:10.1007/s10711-024-00905-3

dc.contributor.author	Nicolussi Golo, Sebastiano
dc.contributor.author	Ottazzi, Alessandro
dc.date.accessioned	2024-05-23T11:48:56Z
dc.date.available	2024-05-23T11:48:56Z
dc.date.issued	2024
dc.identifier.citation	Nicolussi 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.other	CONVID_213513074
dc.identifier.uri	https://jyx.jyu.fi/handle/123456789/95124
dc.description.abstract	For 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.mimetype	application/pdf
dc.language.iso	eng
dc.publisher	Springer Science and Business Media LLC
dc.relation.ispartofseries	Geometriae Dedicata
dc.rights	CC BY 4.0
dc.subject.other	flat distributions
dc.subject.other	Tanaka prolongation
dc.subject.other	stratified Lie groups
dc.subject.other	contact structures
dc.subject.other	quasi-conformal maps
dc.title	Left-invariant distributions diffeomorphic to flat distributions
dc.type	research article
dc.identifier.urn	URN:NBN:fi:jyu-202405233888
dc.contributor.laitos	Matematiikan ja tilastotieteen laitos	fi
dc.contributor.laitos	Department of Mathematics and Statistics	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	0046-5755
dc.relation.numberinseries	2
dc.relation.volume	218
dc.type.version	publishedVersion
dc.rights.copyright	© 2024 the Authors
dc.rights.accesslevel	openAccess	fi
dc.type.publication	article
dc.relation.grantnumber	607643
dc.relation.grantnumber	607643
dc.relation.projectid	info:eu-repo/grantAgreement/EC/FP7/607643/EU//
dc.subject.yso	differentiaaligeometria
dc.subject.yso	Lien ryhmät
dc.format.content	fulltext
jyx.subject.uri	http://www.yso.fi/onto/yso/p16682
jyx.subject.uri	http://www.yso.fi/onto/yso/p39641
dc.rights.url	https://creativecommons.org/licenses/by/4.0/
dc.relation.doi	10.1007/s10711-024-00905-3
dc.relation.funder	European Commission	en
dc.relation.funder	Euroopan komissio	fi
jyx.fundingprogram	FP7 (EU's 7th Framework Programme)	en
jyx.fundingprogram	EU:n 7. puiteohjelma (FP7)	fi
jyx.fundinginformation	Open 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.okm	A1