\((1,2)\)-symplectic structures on flag manifolds

DOI10.2748/TMJ/1178224611zbMath0983.53052OpenAlexW2070852349MaRDI QIDQ1587381

Xiaohuan Mo, Caio J. C. Negreiros

Publication date: 23 April 2002

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224611

zbMATH Keywords

complex flag manifoldssymplectic structuresmoving framesparabolic structuredirected digraphsinvariant almost complex structure

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Symplectic manifolds (general theory) (53D05) Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (4)

Invariant almost Hermitian structures on flag manifolds. ⋮ Invariant Hermitian structures and variational aspects of a family of holomorphic curves on flag manifolds ⋮ Equi-harmonic maps and Plücker formulae for horizontal-holomorphic curves on flag manifolds ⋮ \(f\)-structures on the classical flag manifold which admit \((1,2)\)-symplectic metrics

Cites Work

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• A twistor description of harmonic maps of a 2-sphere into a Grassmannian
• Tournaments, flags, and harmonic maps
• Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces
• Homogeneous spaces defined by Lie group automorphisms. II
• Characteristic Classes and Homogeneous Spaces, I
• Harmonic Mappings of Riemannian Manifolds
• Kählerian Coset Spaces of Semisimple Lie Groups

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