HYPERSPHERICAL AND HYPERCYLINDRICAL GENERALIZED HELICES IN THE SENSE OF HAYDEN IN E2n+1.

Autor: Altınbaş, Hasan, Altunkaya, Bülent, Kula, Levent
Předmět:
Zdroj: Facta Universitatis, Series: Mathematics & Informatics; 2021, Vol. 36 Issue 4, p809-821, 13p
Abstrakt: In this paper, we investigate generalized helices in the sense of Hayden in (2n+1)-dimensional Euclidean space E2n+1. We obtain some results for such curves in E2n+1. Thereafter, we obtain two families of generalized helices which are hyperspherical and hypercylindrical generalized helices in the sense of Hayden. In addition, we give examples of hyperspherical and hypercylindrical generalized helices in the sense of Hayden in E5. Finally, we give examples of hyperspherical and hypercylindrical generalized helices in the sense of Hayden in E³ and plot the graphics of these curves with Mathematica 10.0. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index