Surfaces in the three-dimensional Heisenberg group on which the Gauss map has bounded Jacobian

DOI10.1134/S0001434611050154zbMath1231.53052MaRDI QIDQ650491

E. V. Petrov, Alexander A. Borisenko

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Riemannian metricLie groupGauss mapGaussian curvaturecomplete regular surfaceJacobian of a Gauss mapthree-dimensional Heisenberg group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (2)

Gauss maps of the surfaces in the three-dimensional Heisenberg group ⋮ Around Efimov's differential test for homeomorphism

Cites Work

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• Efimov's theorem about complete immersed surfaces of negative curvature
• Über Flächen mit eindeutiger Projektion auf eine Ebene, deren Krümmungen durch Ungleichungen eingeschränkt sind
• The Geometries of 3-Manifolds

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