Constant angle surfaces in the Lorentzian Heisenberg group

DOI10.1007/S00013-017-1104-6zbMath1378.53022arXiv1702.05790OpenAlexW2597346914WikidataQ125265155 ScholiaQ125265155MaRDI QIDQ1682410

Paola Piu, Irene Ignazia Onnis

Publication date: 30 November 2017

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05790

zbMATH Keywords

helix surfacesconstant angle surfacesLorentzian Heisenberg group

Mathematics Subject Classification ID

Local submanifolds (53B25) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (8)

Constant angle surfaces in the Lorentzian warped product manifold $I \times_{f} \mathbb E^2_1$ ⋮ Unnamed Item ⋮ Constant angle surfaces in Lorentzian Berger spheres ⋮ Constant angle null hypersurfaces ⋮ Unnamed Item ⋮ Constant angle surfaces in the Lorentzian warped product manifold \(-I \times_f \mathbb{E}^2\) ⋮ Semi Riemannian hypersurfaces with a canonical principal direction ⋮ A new representation of constant angle surfaces in H²×R with split quaternions

Cites Work

• Helix surfaces in the Berger sphere
• Constant angle surfaces in the Heisenberg group
• Constant angle surfaces in Minkowski space
• Minimal helix surfaces in \(N^{n}\times \mathbb R\)
• Isometric immersions into 3-dimensional homogeneous manifolds
• Higher codimensional Euclidean helix submanifolds
• Constant angle property and canonical principal directions for surfaces in \(\mathbb M^2(c)\times\mathbb R_1\)
• Constant angle surfaces in \(\mathbb H^{2} \times \mathbb R\)
• Helix submanifolds of Euclidean spaces
• Constant angle surfaces in \({\mathbb S}^2\times {\mathbb R}\)
• Constant Angle Surfaces in a warped product
• ON THE GEOMETRY OF CONSTANT ANGLE SURFACES IN Sol3
• Helix surfaces in the special linear group

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