Invariant nearly-Kähler structures

DOI10.1007/s10711-006-9095-7zbMath1105.53054OpenAlexW1968667011MaRDI QIDQ861679

Luiz A. B. San Martin, Rita de Cássia de J. Silva

Publication date: 30 January 2007

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-006-9095-7

zbMATH Keywords

flag manifoldssemi-simple Lie groupsalmost Hermitian structuresnearly-Kähler structures

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Homogeneous spaces (22F30) Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (9)

Killing-Yano 2-forms on homogeneous spaces ⋮ Scalar curvatures of invariant almost Hermitian structures on flag manifolds with two and three isotropy summands ⋮ Invariant almost complex geometry on flag manifolds: geometric formality and Chern numbers ⋮ Invariant almost complex structures on real flag manifolds ⋮ Variational results on flag manifolds: harmonic maps, geodesics and Einstein metrics ⋮ Invariant Hermitian structures and variational aspects of a family of holomorphic curves on flag manifolds ⋮ Invariant \({\mathcal{G}}_1\) structures on flag manifolds ⋮ Scalar curvatures of invariant almost Hermitian structures on generalized flag manifolds ⋮ The isotropy representation of a real flag manifold: split real forms

Cites Work

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• On nearly-Kähler geometry
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Invariant almost Hermitian structures on flag manifolds.
• Nearly Kähler geometry and Riemannian foliations.
• A rank-three condition for invariant (1,2)-symplectic almost Hermitian structures on flag manifolds
• Homogeneous spaces defined by Lie group automorphisms. I
• Homogeneous spaces defined by Lie group automorphisms. II
• (1, 2)-SYMPLECTIC METRICS, FLAG MANIFOLDS AND TOURNAMENTS

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