Differential Equations of the Space-Like Loxodromes on the Helicoidal Surfaces in Minkowski 3-Space

BABAARSLAN, MURAT; Kayacik, Mustafa

doi:10.1007/s12591-016-0343-5

Differential Equations of the Space-Like Loxodromes on the Helicoidal Surfaces in Minkowski 3-Space

BABAARSLAN M., Kayacik M.

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, cilt.28, sa.2, ss.495-512, 2020 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 28 Sayı: 2
Basım Tarihi: 2020
Doi Numarası: 10.1007/s12591-016-0343-5
Dergi Adı: DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
Sayfa Sayıları: ss.495-512
Anahtar Kelimeler: Loxodrome, Helicoidal surface, Minkowski space
Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In the present paper, we investigate the differential equations of the space-like loxodromes on the helicoidal surfaces having space-like meridians and time-like meridians, respectively in Minkowski 3-space. Also we illustrate our main results by using Mathematica.