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