Weierstraß-type representation of affine spheres

DOI10.1007/BF02941473zbMath1031.53021WikidataQ125972287 ScholiaQ125972287MaRDI QIDQ5956175

Ulrich Eitner, Josef F. Dorfmeister

Publication date: 29 February 2004

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

zbMATH Keywords

ordinary differential equationsloop groupaffine spheresmoving frame

Mathematics Subject Classification ID

Affine differential geometry (53A15)

Related Items (12)

Tzitzéica transformation is a dressing action ⋮ Timelike minimal Lagrangian surfaces in the indefinite complex hyperbolic two-space ⋮ Ruh-Vilms theorems for minimal surfaces without complex points and minimal Lagrangian surfaces in \(\mathbb{C}P^2\) ⋮ Darboux transformations and exact solutions of two dimensional A2n(2) Toda equation ⋮ Survey on real forms of the complex \(A_2^{(2)}\)-Toda equation and surface theory ⋮ Definite affine spheres and loop groups ⋮ Timelike minimal surfaces via loop groups ⋮ Generalized DPW method and an application to isometric immersions of space forms ⋮ Representation formula for discrete indefinite affine spheres ⋮ Self-associated three-dimensional cones ⋮ Birkhoff decompositions and Iwasawa decompositions for loop groups ⋮ Discrete improper affine spheres.

Cites Work

• Infinite dimensional Lie algebras. An introduction
• Liouville's theorem and the method of the inverse problem
• The exponents of loops on the complex general linear group
• Systems of PDEs obtained from factorization in loop groups
• Weierstrass type representation of harmonic maps into symmetric spaces
• Infinite flag varieties and conjugacy theorems
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