Harmonic maps into periodic flag manifolds and into loop groups

DOI10.1016/0393-0440(90)90027-ZzbMath0742.58012OpenAlexW2046554244MaRDI QIDQ1175634

Caio J. C. Negreiros

Publication date: 25 June 1992

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(90)90027-z

zbMATH Keywords

harmonic mapsflag manifoldsloop groups

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Harmonic maps, etc. (58E20) Loops, quasigroups (20N05)

Cites Work

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• The principle of symmetric criticality
• Harmonic maps from surfaces to complex projective spaces
• Instantons in two and four dimensions
• Instantons and geometric invariant theory
• The construction of harmonic maps into complex Grassmannians
• Geometry of maps between generalized flag manifolds
• The geometry of loop groups
• Harmonic maps of the two-sphere into a complex Grassmann manifold. II
• Harmonic maps into Lie groups (classical solutions of the chiral model)
• The existence of minimal immersions of 2-spheres
• Minimal immersions of surfaces in Euclidean spheres
• Minimal submanifolds of low cohomogeneity
• Characteristic Classes and Homogeneous Spaces, I
• Solutions to Yang—Mills equations that are not self-dual
• Another Report on Harmonic Maps
• Stability and gap phenomena for Yang-Mills fields
• The Energy Function and Homogeneous Harmonic Maps
• Equivariant harmonic maps into homogeneous spaces
• Removable singularities in Yang-Mills fields

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