Jet spaces over Carnot groups
Nicolussi Golo, S., & Warhurst, B. (2023). Jet spaces over Carnot groups. Revista Matematica Iberoamericana, 39(6), 2289-2330. https://doi.org/10.4171/rmi/1439
Julkaistu sarjassa
Revista Matematica IberoamericanaPäivämäärä
2023Tekijänoikeudet
© 2023 Real Sociedad Matemática Española
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.
Julkaisija
European Mathematical Society - EMS - Publishing House GmbHISSN Hae Julkaisufoorumista
0213-2230Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/184212122
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Näytä kaikki kuvailutiedotKokoelmat
Rahoittaja(t)
Suomen AkatemiaRahoitusohjelmat(t)
Akatemiatutkijan tutkimuskulut, SA; Akatemiahanke, SALisätietoja rahoituksesta
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. ...Lisenssi
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