A twistor description of harmonic maps of a 2-sphere into a Grassmannian

DOI10.1007/BF01458017zbMath0575.58018MaRDI QIDQ1064594

Francis E. Burstall

Publication date: 1986

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164087

zbMATH Keywords

harmonic mapKähler formHermitian manifoldtwistor fibrationcomplex flag manifolds over complex Grassmanniansholomorphic maps into a flag manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Harmonic maps, etc. (58E20)

Related Items

New constructions of twistor lifts for harmonic maps, Symmetric shift-invariant subspaces and harmonic maps, Harmonic maps into the exceptional symmetric space G₂ /SO(4), On harmonic tori in compact rank one symmetric spaces, \((1,2)\)-symplectic structures on flag manifolds, Twistor interpretation of harmonic spheres and Yang-Mills fields

Cites Work

• Sur certaines structures fibrées complexes
• Harmonic maps from surfaces to complex projective spaces
• Harmonic maps from \(S^ 2\) to \(G_{2,4}\)
• The construction of harmonic maps into complex Grassmannians
• Characteristic Classes and Homogeneous Spaces, I
• Harmonic Maps of Finite Energy From Non-Compact Manifolds
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