Definite affine spheres and loop groups

DOI10.1016/j.geomphys.2010.01.010zbMath1194.53008OpenAlexW1965928613MaRDI QIDQ967482

Mingheng Liang, Qingchun Ji

Publication date: 29 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2010.01.010

zbMATH Keywords

affine spheresloop groupsfinite typedressing transformation

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Calibrations and calibrated geometries (53C38) Affine differential geometry (53A15)

Related Items (1)

Self-associated three-dimensional cones

Cites Work

• Unnamed Item
• Loop group decompositions in almost split real forms and applications to soliton theory and geometry
• Timelike surfaces of constant mean curvature in Minkowski 3-space
• Weierstrass type representation of harmonic maps into symmetric spaces
• Meromorphic potentials and smooth surfaces of constant mean curvature
• Finite type Lorentz harmonic maps and the method of Symes
• Willmore immersions and loop groups
• Darboux transformation for MZM-I, II equations
• Actions of Loop Groups on Harmonic Maps
• Bäcklund transformations and loop group actions
• Unitarization of monodromy representations and constant mean curvature trinoids in 3-dimensional space forms
• Weierstraß-type representation of affine spheres

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