The Geometry of K-Orbits of a Subclass of MD5-Groups and Foliations Formed by their Generic K-Orbits
| dc.creator | Vu, Le Anh | |
| dc.creator | Thanh, Duong Minh | |
| dc.date | 2006-03-03 | |
| dc.date.accessioned | 2026-07-07T07:47:11Z | |
| dc.date.available | 2026-07-07T07:47:11Z | |
| dc.description | The present paper is a continuation of Le Anh Vu's ones [13], [14], [15]. Specifically, the paper is concerned with the subclass of connected and simply connected MD5-groups such that their MD5-algebras $\mathcal{G}$ have the derived ideal ${\mathcal{G}}^{1} : = [ \mathcal{G},\mathcal{G} ]\equiv$ ${\bf{R}}^{3}$. We shall describe the geometry of K-orbits of these MD5-groups. The foliations formed by K-orbits of maximal dimension of these MD5-groups and their measurability are also presented in the paper. | |
| dc.description | 24 pages, no figue | |
| dc.identifier | https://arxiv.org/abs/math/0603089 | |
| dc.identifier | http://arxiv.org/abs/math/0603089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124077 | |
| dc.subject | Differential Geometry | |
| dc.subject | Primary 22E45, Secondary 46E25, 20C20 | |
| dc.title | The Geometry of K-Orbits of a Subclass of MD5-Groups and Foliations Formed by their Generic K-Orbits | |
| dc.type | text |