The generalized gauss map of minimal surfaces in H3 and H4

DOI10.1007/BF02590022zbMath0748.53033MaRDI QIDQ3991366

Plinio A. Q. Simões, Célia C. Góes

Publication date: 28 June 1992

Published in: Boletim da Sociedade Brasileira de Matemática (Search for Journal in Brave)

zbMATH Keywords

minimal immersion

Mathematics Subject Classification ID

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

Related Items (4)

On the constructibility of a negatively curved complete surface of constant mean curvature in \(\mathbb{H}^3\) determined by a prescribed Hopf differential ⋮ Minimal timelike surfaces in a certain homogeneous Lorentzian 3-manifold ⋮ Maximal surfaces in a certain 3-dimensional homogeneous spacetime ⋮ Minimal surfaces in 3-dimensional solvable Lie groups II

Cites Work

• The Gauss map of surfaces in \(\mathbb R^ n\)
• Weierstrass formula for surfaces of prescribed mean curvature
• The geometry of the generalized Gauss map
• Some remarks on minimal immersions in hyperbolic spaces

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