dc.contributor.author | Nicolussi Golo, Sebastiano | |
dc.contributor.author | Warhurst, Benjamin | |
dc.date.accessioned | 2024-02-07T07:21:34Z | |
dc.date.available | 2024-02-07T07:21:34Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Nicolussi Golo, S., & Warhurst, B. (2023). Jet spaces over Carnot groups. <i>Revista Matematica Iberoamericana</i>, <i>39</i>(6), 2289-2330. <a href="https://doi.org/10.4171/rmi/1439" target="_blank">https://doi.org/10.4171/rmi/1439</a> | |
dc.identifier.other | CONVID_184212122 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/93275 | |
dc.description.abstract | Jet spaces over Rn have been shown to have a canonical structure of stratified Lie groups (also known as Carnot groups). We construct jet spaces over stratified Lie groups adapted to horizontal differentiation and show that these jet spaces are themselves stratified Lie groups. Furthermore, we show that these jet spaces support a prolongation theory for contact maps, and in particular, a Bäcklund type theorem holds. A byproduct of these results is an embedding theorem that shows that every stratified Lie group of step s+1 can be embedded in a jet space over a stratified Lie group of step s. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | European Mathematical Society - EMS - Publishing House GmbH | |
dc.relation.ispartofseries | Revista Matematica Iberoamericana | |
dc.rights | CC BY 4.0 | |
dc.title | Jet spaces over Carnot groups | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202402071765 | |
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.format.pagerange | 2289-2330 | |
dc.relation.issn | 0213-2230 | |
dc.relation.numberinseries | 6 | |
dc.relation.volume | 39 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © 2023 Real Sociedad Matemática Española | |
dc.rights.accesslevel | openAccess | fi |
dc.relation.grantnumber | 328846 | |
dc.relation.grantnumber | 322898 | |
dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
dc.subject.yso | monistot | |
dc.subject.yso | Lien ryhmät | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p28181 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p39641 | |
dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
dc.relation.doi | 10.4171/rmi/1439 | |
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 | S. N. G. has been supported by the Academy of Finland (grant 328846, “Singular integrals, harmonic functions, and boundary regularity in Heisenberg groups”, grant 322898 “Sub-Riemannian Geometry via Metric-geometry and Lie-group Theory”, grant 314172 “Quantitative rectifiability in Euclidean and non-Euclidean spaces”), and by the University of Padova STARS Project “Sub-Riemannian Geometry and Geometric Measure Theory Issues: Old and New”. B. W. was supported by the grant of the National Science Center, Poland (NCN), UMO-2017/25/B/ST1/01955. S. N. G. and B. W. are grateful for the support of this research provided by the grant of the National Science Center, Poland (NCN), UMO-2017/25/B/ST1/01955. | |
dc.type.okm | A1 | |