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Helix preserving mappings   
Yazarlar
Doç. Dr. Bülent ALTUNKAYA
Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Levent KULA
Kırşehir Ahi Evran Üniversitesi, Türkiye
Özet
In this study, we define two types of mappings that preserve the constant angle between the tangent vector field and the axis of a given helix in Euclidean spaces. The first type generates helices in the n-dimensional Euclidean space from helices in the same space. The second type generates helices in the (n+1)-dimensional Euclidean space from helices in the n-dimensional Euclidean space. In addition, we give invariants of these mappings and study polynomial, rational, conical, ellipsoidal, and hyperboloidal helices supported by examples.
Anahtar Kelimeler
helix, map, n-helix mapping, (n+1)-helix mapping
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı Mathematical Methods in the Applied Sciences
Dergi ISSN 0170-4214
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q1
Makale Dili İngilizce
Basım Tarihi 06-2021
Cilt No 44
Sayı 9
Sayfalar 7395 / 7406
Doi Numarası 10.1002/mma.6056
Makale Linki http://dx.doi.org/10.1002/mma.6056