Hyperspherical And Hypercylindrical Generalized Helices In The Sense Of Hayden In E2n+1

Abstract

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 E-5. Finally, we give examples of hyperspherical and hypercylindrical generalized helices in the sense of Hayden in E-3 and plot the graphics of these curves with Mathematica 10.0.