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

Vitaly V. Balashchenko and Anna Sakovich

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-15

Abstract:

We consider manifolds of oriented flags SO ( n ) / SO ( 2 ) × SO ( n − 3 ) ( n ≥ 4 ) as 4 - and 6 -symmetric spaces andindicate characteristic conditions for invariant Riemannianmetrics under which the canonical f -structures on thesehomogeneous Φ -spaces belong to the classes K i l l f , N K f , and G 1 f ofgeneralized Hermitian geometry.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:089545

DOI: 10.1155/IJMMS/2006/89545

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