Helix preserving mappings
      
Yazarlar (2)
Prof. Dr. Bülent ALTUNKAYA Kırşehir Ahi Evran Üniversitesi, Türkiye
Prof. Dr. Levent KULA Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Mathematical Methods in the Applied Sciences (Q1)
Dergi ISSN 0170-4214 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 06-2021
Cilt / Sayı / Sayfa 44 / 9 / 7395–7406 DOI 10.1002/mma.6056
Makale Linki http://dx.doi.org/10.1002/mma.6056
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
(n+1)-helix mapping | helix | map | n-helix mapping