On the Construction of Harmonic Maps into a Grassmannian

DOI10.1112/jlms/s2-28.1.161zbMath0492.58013OpenAlexW2050281015MaRDI QIDQ3954550

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Publication date: 1983

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-28.1.161

zbMATH Keywords

minimal branched immersionsconstruction of harmonic maps into a Grassmannianharmonic maps into flag manifoldsholomorphic maps into complex Grassmanniansisotropy of a harmonic map to a Grassmannian

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Harmonic maps, etc. (58E20) Holomorphic functions of several complex variables (32A99)

Related Items (14)

Classification of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_n\) ⋮ Rigidity of conformal minimal immersions of constant curvature from \(S^2\) to \(Q_4\) ⋮ Harmonic maps and shift-invariant subspaces ⋮ New constructions of twistor lifts for harmonic maps ⋮ Strings, harmonic maps and hyperbolic systems ⋮ Diagrams and harmonic maps, revisited ⋮ Constructive factorizations of unitons via singular Darboux transformations ⋮ Actions of Loop Groups on Harmonic Maps ⋮ Harmonic maps into the orthogonal group and null curves ⋮ The Gauss Map and Nonholomorphic Harmonic Maps ⋮ Conformal minimal immersions with constant curvature from \(S^2\) to \(Q_{5}\) ⋮ Harmonic maps from surfaces to complex projective spaces ⋮ Lie groups and twistor spaces ⋮ On conformal minimal immersions of two-spheres in a complex hyperquadric with parallel second fundamental form

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