The Gauss map of submanifolds in the Heisenberg group

DOI10.1016/J.DIFGEO.2011.04.036zbMath1219.53055OpenAlexW2092237061WikidataQ115356854 ScholiaQ115356854MaRDI QIDQ549967

E. V. Petrov

Publication date: 19 July 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.036

zbMATH Keywords

Heisenberg groupGauss mapharmonic mapconstant mean curvature hypersurfacemean curvature field

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Differential geometric aspects of harmonic maps (53C43)

Cites Work

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• Constant mean curvature hypersurfaces in a Lie group with a bi-invariant metric
• The Gauss Map of Hypersurfaces in 2-Step Nilpotent Lie Groups
• Submanifolds with the Harmonic Gauss Map in Lie Groups
• Geometry of $2$-step nilpotent groups with a left invariant metric
• The Tension Field of the Gauss Map
• Harmonic Mappings of Riemannian Manifolds

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