On constant slope spacelike surfaces in 3-dimensional Minkowski space

DOI10.1016/j.jmaa.2011.06.040zbMath1226.53012OpenAlexW2034034115MaRDI QIDQ641572

Yu Fu, Dan Yang

Publication date: 24 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.06.040

zbMATH Keywords

Minkowski spaceconstant angle surfaceslope surface

Mathematics Subject Classification ID

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

Related Items (17)

Constant angle surfaces in the Lorentzian warped product manifold $I \times_{f} \mathbb E^2_1$ ⋮ Construction of the spacelike constant angle surface family in Minkowski 3-space ⋮ Constant mean curvature hypersurfaces with constant angle in semi-Riemannian space forms ⋮ Classification of timelike constant slope surfaces in 3-dimensional Minkowski space ⋮ Unnamed Item ⋮ Eikonal hypersurfaces in the Euclidean \(n\)-space ⋮ Geometry of spacelike generalized constant ratio surfaces in Minkowski 3-space ⋮ On generalized constant ratio surfaces of higher codimension ⋮ Constant angle null hypersurfaces ⋮ Some Characterizations of Translation Surface Generated by Spherical Indicatrices of Timelike Curves in Minkowski 3-space ⋮ Non-lightlike constant angle ruled surfaces in Minkowski 3-space ⋮ Unnamed Item ⋮ Space-like loxodromes on rotational surfaces in Minkowski 3-space ⋮ Generalized constant ratio surfaces in \(\mathbb E^3\) ⋮ Constant angle surfaces in the Lorentzian warped product manifold \(-I \times_f \mathbb{E}^2\) ⋮ Time-like constant slope surfaces and space-like Bertrand curves in Minkowski 3-space ⋮ New classification results on surfaces with a canonical principal direction in the Minkowski 3-space

Cites Work

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• Constant angle surfaces in the Heisenberg group
• Constant angle surfaces in Minkowski space
• Surfaces of revolution with constant mean curvature in Lorentz-Minkowski space
• Position vectors of a timelike and a null helix in Minkowski 3-space
• Position vector of a time-like slant helix in Minkowski 3-space
• Constant angle surfaces in \({\mathbb S}^2\times {\mathbb R}\)
• From golden spirals to constant slope surfaces

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