On involute-evolute curve couple in the hyperbolic and de Sitter spaces
Abdel-Aziz, H., Saad, M., Abdel-Salam, A. (2019). On involute-evolute curve couple in the hyperbolic and de Sitter spaces. EKB Journal Management System, 27(1), 1-18. doi: 10.1186/s42787-019-0023-z
H. S. Abdel-Aziz; M. Khalifa Saad; A. A. Abdel-Salam. "On involute-evolute curve couple in the hyperbolic and de Sitter spaces". EKB Journal Management System, 27, 1, 2019, 1-18. doi: 10.1186/s42787-019-0023-z
Abdel-Aziz, H., Saad, M., Abdel-Salam, A. (2019). 'On involute-evolute curve couple in the hyperbolic and de Sitter spaces', EKB Journal Management System, 27(1), pp. 1-18. doi: 10.1186/s42787-019-0023-z
Abdel-Aziz, H., Saad, M., Abdel-Salam, A. On involute-evolute curve couple in the hyperbolic and de Sitter spaces. EKB Journal Management System, 2019; 27(1): 1-18. doi: 10.1186/s42787-019-0023-z

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

Journal of the Egyptian Mathematical Society
Volume 27, Issue 1, 2019, Page 1-18  XML PDF (818.81 K)
DOI: 10.1186/s42787-019-0023-z
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Authors
H. S. Abdel-Aziz1; M. Khalifa Saad1, 2; A. A. Abdel-Salam1
1Department of Mathematics, Faculty of Science, Sohag University, Naser Street, Sohag, 82524, Egypt
2Department of Mathematics, Faculty of Science, Islamic University of Madinah, 170 Madinah, Kingdom of Saudi Arabia
Abstract
This paper aims at showing that Frenet apparatus of an evolute curve can be formed in
terms of Frenet apparatus of its involute curve in the hyperbolic (de Sitter) space. Also,
we establish relationships among Frenet frame of the considered curve couple. Finally,
we defray some examples to confirm our main results.

Keywords
Frenet frames; Involute-evolute curves; Hyperbolic space
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