On involute-evolute curve couple in the hyperbolic and de Sitter spaces

DOI10.1186/s42787-019-0023-zzbMath1430.53018OpenAlexW2966381040MaRDI QIDQ2338165

A. A. Abdel-Salam, M. Khalifa Saad, Hossam S. Abdel Aziz

Publication date: 21 November 2019

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s42787-019-0023-z

zbMATH Keywords

hyperbolic spaceFrenet framesinvolute-evolute curves

Mathematics Subject Classification ID

Local submanifolds (53B25) Differential line geometry (53A25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (2)

The Flow-geodesic Curvature and the Flow-evolute of Hyperbolic Plane Curves ⋮ Unnamed Item

Cites Work

• Evolutes of hyperbolic plane curves
• Pseudo-spherical evolutes of curves on a spacelike surface in three dimensional Lorentz-Minkowski space
• FOCAL SURFACES AND EVOLUTES OF CURVES IN HYPERBOLIC SPACE
• Horospherical and hyperbolic dual surfaces of spacelike curves in de Sitter space
• Curves in three dimensional Riemannian space forms
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