Straight ruled surfaces in the Heisenberg group

DOI10.1007/S00022-013-0199-6zbMath1298.53053arXiv1212.5834OpenAlexW2123382395MaRDI QIDQ457130

Ioannis D. Platis

Publication date: 26 September 2014

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

Full work available at URL: https://arxiv.org/abs/1212.5834

zbMATH Keywords

Heisenberg geometryhorizontally minimal surfaces

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Sub-Riemannian geometry (53C17)

Related Items (2)

Modulus of surface families and the radial stretch in the Heisenberg group ⋮ Modulus of revolution rings in the heisenberg group

Cites Work

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• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group \(\mathbb H^1\)
• Foundations for the theory of quasiconformal mappings on the Heisenberg group
• Minimal surfaces in the Heisenberg group
• Corrigenda to: Introduction to Symplectic Topology
• Large scale detection of half-flats in CAT(0)-spaces

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