Nearly Kähler and Hermitian \(f\)-structures on homogeneous \(\Phi \)-spaces of order \(k\) with special metrics

DOI10.1134/S0037446611060140zbMath1254.53084MaRDI QIDQ662655

A. S. Samsonov

Publication date: 24 February 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

naturally reductive spacehomogeneous \(k\)-symmetric spacecanonical \(f\)-structuregeneralized Hermitian geometryinvariant \(f\)-structurehomogeneous \(\Phi \)-space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (1)

Canonical distributions on Riemannian homogeneous \(k\)-symmetric spaces

Cites Work

• Nearly Kähler and Hermitian \(f\)-structures on homogeneous \(k\)-symmetric spaces
• Integrability of canonic affinor structures of homogeneous periodic \(\Phi \)-spaces
• Existence and non-existence of homogeneous Einstein metrics
• Einstein metrics on even-dimensional homogeneous spaces admitting a homogeneous Riemannian metric of positive sectional curvature
• Homogeneous nearly Kähler \(f\)-manifolds.
• Riemannian manifolds with geodesic symmetries of order 3
• Homogeneous spaces defined by Lie group automorphisms. I
• QUASIHOMOGENEOUS MANIFOLDS AND GENERALIZED ALMOST-HERMITIAN STRUCTURES
• Canonical affinor structures of classical type on regular $ \Phi$-spaces
• Homogeneous Hermitianf-manifolds
• Generalized symmetric spaces
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