Surfaces in Lorentzian hyperbolic space

DOI10.1007/BF00776851zbMath0758.53032MaRDI QIDQ1182221

Bennett Palmer

Publication date: 28 June 1992

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

Gauss mapBäcklund transformationconstant mean curvature surfacespacelike surface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

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A geometrical correspondence between maximal surfaces in anti-de Sitter space-time and minimal surfaces in \(\mathbb H^2\times\mathbb R\), Kenmotsu-Bryant type representation formula for constant mean curvature spacelike surfaces in \({\mathbf H}_1^3(-c^2)\), Minimal maps between the hyperbolic discs and generalized Gauss maps of maximal surfaces in the anti-de-Sitter 3-space

Cites Work

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• Spacelike constant mean curvature surfaces in pseudo-Riemannian space forms
• On the Gauss map of complete surfaces of constant mean curvature in \(R^ 3 \)and \(R^ 4\).
• Integrable Hamiltonian systems and interactions through quadratic constraints