On the classification of sub-Riemannian structures on a 5D two-step nilpotent Lie group

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dc.contributor.author Biggs, Rory
dc.contributor.author Ntshudisane, Odirile
dc.date.accessioned 2023-09-01T07:03:32Z
dc.date.available 2023-09-01T07:03:32Z
dc.date.issued 2024
dc.description.abstract We classify the left-invariant sub-Riemannian structures on the unique five-dimensional simply connected two-step nilpotent Lie group with two-dimensional commutator subgroup; this 5D group is the first two-step nilpotent Lie group beyond the three- and five-dimensional Heisenberg groups. Alongside, we also present a classification, up to automorphism, of the subspaces of the associated Lie algebra (together with a complete set of invariants). en_US
dc.description.department Mathematics and Applied Mathematics en_US
dc.description.librarian hj2023 en_US
dc.description.sponsorship The National Research Foundation (NRF) of South Africa. en_US
dc.description.uri https://cm.episciences.org en_US
dc.identifier.citation Biggs, R. & Ntshudisane, O.K.L. 2024, 'On the classification of sub-Riemannian structures on a 5D two-step nilpotent Lie group', Communications in Mathematics, vol. 32, no. 1, pp. 13-22, doi : 10.46298/cm.10550. en_US
dc.identifier.issn 2336-1298 (online)
dc.identifier.issn 1804-1388 (print)
dc.identifier.other 10.46298/cm.10550
dc.identifier.uri http://hdl.handle.net/2263/92134
dc.language.iso en en_US
dc.publisher Episciences en_US
dc.rights Article is published under Licence: Attribution 4.0 International (CC BY 4.0). en_US
dc.subject Two-step nilpotent Lie group en_US
dc.subject Isometries en_US
dc.subject Sub-Riemannian structure en_US
dc.title On the classification of sub-Riemannian structures on a 5D two-step nilpotent Lie group en_US
dc.type Article en_US


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