Invariant f-structures on the flag manifolds SO(n)/SO(2)xSO(n-3)

Invariant f-structures on the flag manifolds SO(n)/SO(2)xSO(n-3)

We consider manifolds of oriented flags SO(n)/SO(2)xSO(n-3) (n>=4) as 4- and 6-symmetric spaces and indicate characteristic conditions for invariant Riemannian metrics under which the canonical f-structures on these homogeneous \(\Phi\)-spaces belong to the classes Kill f, NKf and G_1f of general...

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Veröffentlicht in:arXiv.org 2005-02
Hauptverfasser: Balashchenko, Vitaly V, Sakovich, Anna
Format: Artikel
Sprache:eng
Schlagworte:
Flags
Invariants
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Zusammenfassung:We consider manifolds of oriented flags SO(n)/SO(2)xSO(n-3) (n>=4) as 4- and 6-symmetric spaces and indicate characteristic conditions for invariant Riemannian metrics under which the canonical f-structures on these homogeneous \(\Phi\)-spaces belong to the classes Kill f, NKf and G_1f of generalized Hermitian geometry.
ISSN:2331-8422
DOI:10.48550/arxiv.0502056