| Автор | Isabel G Dotti |
| Автор | Anna Fino |
| Дата выпуска | 2002-02-07 |
| dc.description | We study hyperKähler torsion (HKT) structures on nilpotent Lie groups and on associated nilmanifolds. We show three weak HKT structures on <sup>8</sup> which are homogeneous with respect to extensions of Heisenberg-type Lie groups. The corresponding hypercomplex structures are of a special kind called Abelian. We prove that on any 2-step nilpotent Lie group all invariant HKT structures arise from Abelian hypercomplex structures. Furthermore, we use a correspondence between Abelian hypercomplex structures and subspaces of p(n) to produce continuous families of compact and noncompact manifolds carrying non-isometric HKT structures. Finally, geometrical properties of invariant HKT structures on 2-step nilpotent Lie groups are obtained. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | HyperKähler torsion structures invariant by nilpotent Lie groups |
| Тип | paper |
| DOI | 10.1088/0264-9381/19/3/309 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 19 |
| Первая страница | 551 |
| Последняя страница | 562 |
| Выпуск | 3 |
