Show simple item record

dc.contributor.authorLe Donne, Enrico
dc.date.accessioned2018-01-31T08:00:39Z
dc.date.available2018-01-31T08:00:39Z
dc.date.issued2017
dc.identifier.citationLe Donne, E. (2017). A Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries. <i>Analysis and Geometry in Metric Spaces</i>, <i>5</i>(1), 116-137. <a href="https://doi.org/10.1515/agms-2017-0007" target="_blank">https://doi.org/10.1515/agms-2017-0007</a>
dc.identifier.otherCONVID_27879044
dc.identifier.otherTUTKAID_76687
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/56960
dc.description.abstractCarnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance. We present the basic theory of Carnot groups together with several remarks.We consider them as special cases of graded groups and as homogeneous metric spaces.We discuss the regularity of isometries in the general case of Carnot-Carathéodory spaces and of nilpotent metric Lie groups.
dc.language.isoeng
dc.publisherDe Gruyter Open
dc.relation.ispartofseriesAnalysis and Geometry in Metric Spaces
dc.subject.otherCarnot groups
dc.subject.othersub-Riemannian geometry
dc.subject.othersub-Finsler geometry
dc.subject.otherhomogeneous spaces
dc.subject.otherhomogeneous groups
dc.subject.othernilpotent groups
dc.subject.othermetric groups
dc.titleA Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201801301378
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.date.updated2018-01-30T13:15:13Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange116-137
dc.relation.issn2299-3274
dc.relation.numberinseries1
dc.relation.volume5
dc.type.versionpublishedVersion
dc.rights.copyright© 2017 Enrico Le Donne, published by De Gruyter Open. This is an open access article distributed under the terms of the Creative Commons License.
dc.rights.accesslevelopenAccessfi
dc.subject.ysodifferentiaaligeometria
dc.subject.ysoryhmäteoria
jyx.subject.urihttp://www.yso.fi/onto/yso/p16682
jyx.subject.urihttp://www.yso.fi/onto/yso/p12497
dc.rights.urlhttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.relation.doi10.1515/agms-2017-0007


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

© 2017 Enrico Le Donne, published by De Gruyter Open. This is an open access article distributed under the terms of the Creative Commons License.
Except where otherwise noted, this item's license is described as © 2017 Enrico Le Donne, published by De Gruyter Open. This is an open access article distributed under the terms of the Creative Commons License.