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HYPERSPHERICAL AND HYPERCYLINDRICAL GENERALIZED HELICES IN THE SENSE OF HAYDEN IN $\mathbb{E}^{2n+1}$   
Yazarlar
Dr. Öğr. Üyesi Hasan ALTINBAŞ Dr. Öğr. Üyesi Hasan ALTINBAŞ
Kırşehir Ahi Evran Üniversitesi, Türkiye
Doç. Dr. Bülent ALTUNKAYA Doç. Dr. Bülent ALTUNKAYA
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Levent KULA Prof. Dr. Levent KULA
Kırşehir Ahi Evran Üniversitesi, Türkiye
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
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
Dergi ISSN 0352-9665
Dergi Tarandığı Indeksler ESCI: Emerging Sources Citation Index
Makale Dili İngilizce
Basım Tarihi 01-2021
Cilt No 36
Sayı 4
Sayfalar 809 / 821
Doi Numarası 10.22190/FUMI201116060A
Makale Linki http://casopisi.junis.ni.ac.rs/index.php/FUMathInf/article/view/7126