Hyperspherical And Hypercylindrical Generalized Helices in The Sense Of Hayden in $\Mathbb{E}^{2n+1}$

ALTINBAŞ, HASAN; ALTUNKAYA, BÜLENT; KULA, LEVENT

doi:10.22190/FUMI201116060A

Hyperspherical And Hypercylindrical Generalized Helices in The Sense Of Hayden in $\Mathbb{E}^{2n+1}$

Yazarlar (3)

Dr. Öğr. Üyesi Hasan ALTINBAŞ Kırşehir Ahi Evran Üniversitesi, Türkiye

Prof. Dr. Bülent ALTUNKAYA Kırşehir Ahi Evran Üniversitesi, Türkiye

Prof. Dr. Levent KULA Kırşehir Ahi Evran Üniversitesi, Türkiye

Makale Türü	Özgün Makale (ESCI dergilerinde yayınlanan tam makale)
Dergi Adı	FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
Dergi ISSN	0352-9665 Wos Dergi
Dergi Tarandığı Indeksler	ESCI
Makale Dili	İngilizce	Basım Tarihi	01-2021
Cilt / Sayı / Sayfa	36 / 4 / 809–821	DOI	10.22190/FUMI201116060A
Makale Linki	http://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/view/7126

Özet

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.

Anahtar Kelimeler

generalized helices | global submanifolds | Euclidean space

Atıf Sayıları

Hyperspherical And Hypercylindrical Generalized Helices in The Sense Of Hayden in $\Mathbb{E}^{2n+1}$

Hyperspherical And Hypercylindrical Generalized Helices in The Sense Of Hayden in $\Mathbb{E}^{2n+1}$

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