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http://hdl.handle.net/10662/15367
Títulos: | Invariant metric 𝑓-structures on specific homogeneous reductive spaces |
Autores/as: | Sakovich, A. |
Palabras clave: | Espacio reductivo homogéneo;Estructura 𝑓;Estructura invariante;Kähler estructura;Colector flag;Homogeneous reductive space;𝑓-structure;Invariant structure,;Nearly Kähler structure;Flag manifold |
Fecha de publicación: | 2008 |
Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
Resumen: | For homogeneous reductive spaces G/H with reductive complements decomposable into an orthogonal sum 𝓂 = 𝓂₁⊕𝓂₂⊕𝓂3 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 G₁f , 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)x SO(n-3)(n ¸≥ 4), the Stiefel manifold SO(4)/SO(2), the complex flag manifold SU(3)/𝑇ₘₐₓ, and the quaternionic flag manifold Sp(3)/SU(2) x SU(2) x SU(2). |
URI: | http://hdl.handle.net/10662/15367 |
ISSN: | 0213-8743 |
Colección: | Extracta Mathematicae Vol. 23, nº 1 (2008) |
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