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Rigidity of 2-step carnot groups

dc.contributor.authorGodoy Molina, Mauricio
dc.contributor.authorKruglikov, Boris
dc.contributor.authorMarkina, Irina
dc.contributor.authorVasiliev, Alexander
dc.date.accessioned2018-11-20T11:00:33Z
dc.date.available2018-11-20T11:00:33Z
dc.date.issued2017-06-19
dc.description.abstractIn the present paper we study the rigidity of 2-step Carnot groups, or equivalently, of graded 2-step nilpotent Lie algebras. We prove the alternative that depending on bi-dimensions of the algebra, the Lie algebra structure makes it either always of infinite type or generically rigid, and we specify the bi-dimensions for each of the choices. Explicit criteria for rigidity of pseudo Hand <i>J</i>-type algebras are given. In particular, we establish the relation of the so-called <i>J</i><sup>2</sup>-condition to rigidity, and we explore these conditions in relation to pseudo <i>H</i>-type algebras.en_US
dc.description.sponsorshipGrants Anillo ACT 1415 PIA CONICYT from Universidad de La Frontera DI17-0147 from Universidad de La Fronteraen_US
dc.descriptionAccepted manuscript version. Published version available at: <a href=http://doi.org/10.1007/s12220-017-9875-3> http://doi.org/10.1007/s12220-017-9875-3</a>en_US
dc.identifier.citationGodoy Molina, M., Kruglikov, B., Markina, I. & Vasiliev, A. (2017). Rigidity of 2-step carnot groups. Journal of Geometric Analysis. 28(2), 1477–1501. http://doi.org/10.1007/s12220-017-9875-3en_US
dc.identifier.cristinIDFRIDAID 1493853
dc.identifier.doi10.1007/s12220-017-9875-3
dc.identifier.issn1050-6926
dc.identifier.issn1559-002X
dc.identifier.urihttps://hdl.handle.net/10037/14214
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.relation.journalJournal of Geometric Analysis
dc.relation.projectIDinfo:eu-repo/grantAgreement/RCN/ ISPNATTEK/239033/Norway/NORWEGIAN RESEARCH NETWORK IN MATHEMATICAL MODELS IN GEOPHYSICAL FLOWS, IMAGE AND SIGNAL PROCESSING, TOPOLOGY AND GEOMETRY//en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/612669/EU/Structure and Evolution of Complex Systems with Applications in Physics and Life Sciences/STREVCOMS/en_US
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Mathematics and natural science: 400::Geosciences: 450::Geometrics: 468en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Geofag: 450::Geometrikk: 468en_US
dc.subjectVDP::Mathematics and natural science: 400en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400en_US
dc.titleRigidity of 2-step carnot groupsen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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