Invariant \(f\)-structures on the flag manifolds \(\mathrm{SO}(n)/\mathrm{SO}(2)\times \mathrm{SO}(n - 3)\)

DOI10.1155/IJMMS/2006/89545zbMath1142.53322arXivmath/0502056OpenAlexW3124815342MaRDI QIDQ2468973

Anna Sakovich, Vitaly V. Balashchenko

Publication date: 1 February 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0502056

zbMATH Keywords

flag manifolds\(k\)-symmetric spacegeneralized Hermitian geometryhomogeneous \(\Phi\)-spacecanonical \(f\)-structures

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35)

Cites Work

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• Methods of generalized Hermitian geometry in the theory of almost-contact manifolds
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Homogeneous nearly Kähler \(f\)-manifolds.
• Nearly Kähler manifolds
• On the geometry of Killingf-manifolds
• Canonical affinor structures of classical type on regular $ \Phi$-spaces
• Naturally reductive Killingf-manifolds
• Homogeneous Hermitianf-manifolds
• Generalized symmetric spaces

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