Real forms of complex surfaces of constant mean curvature

DOI10.1090/S0002-9947-2010-05164-5zbMath1219.53013arXiv1203.1718MaRDI QIDQ2997216

Shimpei Kobayashi

Publication date: 6 May 2011

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

Full work available at URL: https://arxiv.org/abs/1203.1718

zbMATH Keywords

integrable systemsurface of constant curvatureSym-Tafel formulacomplex Kac-Moody Lie algebra

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (4)

Timelike minimal Lagrangian surfaces in the indefinite complex hyperbolic two-space ⋮ On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps ⋮ Minimal n -noids in hyperbolic and anti-de Sitter 3-space ⋮ Survey on real forms of the complex \(A_2^{(2)}\)-Toda equation and surface theory

Cites Work

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• Complex surfaces of constant mean curvature fibered by minimal surfaces
• Automorphisms of finite order of the affine Lie algebra \(A_{\ell}^{(1)}\)
• Timelike surfaces of constant mean curvature in Minkowski 3-space
• Weierstrass type representation of harmonic maps into symmetric spaces
• Willmore tori with umbilic lines and minimal surfaces in hyperbolic space
• Application of soliton theory to the construction of pseudospherical surfaces in \(\mathbb{R}^ 3\)
• Almost split forms of Kac-Moody algebras: classification and relative roots
• Classification of almost compact real forms of affine Kac-Moody algebras
• An introduction to Lorentz surfaces
• Constant mean curvature surfaces in hyperbolic 3-space via loop groups
• Harmonic Maps and Classical Surface Theory in Minkowski 3-Space
• Coarse classification of constant mean curvature cylinders
• Spaces of Complex Null Geodesics in Complex-Riemannian Geometry
• The Harmonic Gauss Maps in a Generalized Sense
• Actions of Loop Groups on Harmonic Maps

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