| Title | Conformal Equivalence of 3D Contact Structures on Lie Groups |
| Publication Type | Journal Article |
| Year of Publication | 2016 |
| Authors | Boarotto, F |
| Journal | Journal of Dynamical and Control Systems |
| Volume | 22 |
| Pagination | 251–283 |
| Date Published | Apr |
| ISSN | 1573-8698 |
| Abstract | In this paper, a conformal classification of three dimensional left-invariant sub-Riemannian contact structures is carried out; in particular, we will prove the following dichotomy: either a structure is locally conformal to the Heisenberg group $mathbbH^3$ or its conformal classification coincides with the metric one. If a structure is locally conformally flat, then its conformal group is locally isomorphic to $SU(2,1)$. |
| URL | https://doi.org/10.1007/s10883-015-9273-8 |
| DOI | 10.1007/s10883-015-9273-8 |
Research Group: