Some characterization of curves in \(\widetilde{\mathbf{SL}_2\mathbb{R}}\) space

DOI10.33048/semi.2019.16.060zbMath1421.53023OpenAlexW3015330383MaRDI QIDQ2323139

Bendehiba Senoussi, Mohammed Bekkar

Publication date: 30 August 2019

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33048/semi.2019.16.060

zbMATH Keywords

general helixbiharmonic curvesrectifying curve\(\widetilde{\mathbf{SL}_2\mathbb{R}}\) geometry

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Packings by translation balls in \({\widetilde{{\mathrm {SL}}_2(\mathbb{R})}}\)
• Rectifying curves in the three-dimensional sphere
• On curves and submanifolds in an indefinite-Riemannian manifold
• On helices and pseudo-Riemannian submanifolds
• The projective interpretation of the eight 3-dimensional homogeneous geometries
• Minimal surfaces in SL(2,R) geometry
• BIHARMONIC SURFACES IN PSEUDO-EUCLIDEAN SPACES
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
• On rectifying curves in Euclidean 3-space
• Translation curves and their spheres in homogeneous geometries
• The sum of the interior angles in geodesic and translation triangles of Sl2(R)~ geometry
• Harmonic Mappings of Riemannian Manifolds
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