Invariant metric $f$-structures on specific homogeneous reductive spaces
| dc.creator | Sakovich, Anna | |
| dc.date | 2005-05-31 | |
| dc.date | 2006-08-24 | |
| dc.date.accessioned | 2026-07-07T06:40:08Z | |
| dc.date.available | 2026-07-07T06:40:08Z | |
| dc.description | For homogeneous reductive spaces G/H with reductive complements decomposable into an orthogonal sum \mathfrak{m}=\mathfrak{m}_1 \oplus \mathfrak{m}_2 \oplus \mathfrak{m}_3 of three Ad(H)-invariant irreducible mutually inequivalent submodules we establish simple conditions under which an invariant metric f-structure (f,g) belongs to the classes G_1 f, NKf, and Kill f of generalized Hermitian geometry. The statements obtained are then illustrated with four examples. Namely we consider invariant metric f-structures on the manifolds of oriented flags SO(n)/SO(2)\times SO(n-3) (n>=4), the Stiefel manifold SO(4)/SO(2), the complex flag manifold SU(3)/T_{max}, and the quaternionic flag manifold Sp(3)/SU(2)\times SU(2)\times SU(2). | |
| dc.description | 13 pages, new examples added, the style is improved | |
| dc.identifier | https://arxiv.org/abs/math/0505669 | |
| dc.identifier | http://arxiv.org/abs/math/0505669 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101318 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C15, 53C30 | |
| dc.title | Invariant metric $f$-structures on specific homogeneous reductive spaces | |
| dc.type | text |