The Gauss map of minimal surfaces in the anti-de Sitter space

DOI10.1016/j.geomphys.2010.11.009zbMath1213.53083OpenAlexW1983103025MaRDI QIDQ627211

Jorge A. Hinojosa, Jorge Herbert S. de Lira

Publication date: 21 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2010.11.009

zbMATH Keywords

minimal surfacesharmonic mapsWeierstrass representationanti-de Sitter space

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometric aspects of harmonic maps (53C43)

Related Items (3)

Spinorial representation of submanifolds in \(\mathrm{SL}_n(\mathbb{C})/\mathrm{SU}(n)\) ⋮ Minimal timelike surfaces in a certain homogeneous Lorentzian 3-manifold ⋮ Uniqueness of Lorentzian Hopf tori

Cites Work

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• A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
• The Gauss map of minimal surfaces in Berger spheres
• Weierstrass formula for surfaces of prescribed mean curvature
• Nonlinear Dirac equations on Riemann surfaces
• Constant mean curvature surfaces via an integrable dynamical system
• Two-dimensional Dirac operator and the theory of surfaces
• The Tension Field of the Gauss Map
• Harmonic maps and constant mean curvature surfaces in H 2 x R

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