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

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...

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Bibliographic Details
Main Authors: H. S. Abdel-Aziz, M. Khalifa Saad, A. A. Abdel-Salam
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Online Access:http://link.springer.com/article/10.1186/s42787-019-0023-z