Characterizations of timelike slant helices in Minkowski 3-space

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Tarih

2014

Yazarlar

Gok, Ismail
Nurkan, Semra Kaya
Ilarslan, Kazim
Kula, Levent
Altinok, Mesut

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Univ Osijek, Dept Mathematics

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we investigate the tangent indicatrix, the principal normal indicatrix and the binormal indicatrix of a timelike curve in Minkowski 3-space E-1(3) and we construct their Frenet equations and curvature functions. Moreover, we obtain some differential equations which characterize a timelike curve to be a slant helix by using the Frenet apparatus of a spherical indicatrix of the curve. Also, related examples and their illustrations are given.

Açıklama

Kula, Levent/0000-0002-8208-9728; Gok, Ismail/0000-0001-8407-133X

Anahtar Kelimeler

Minkowski 3-space, timelike curve, slant helix, general helix, spherical helix, the tangent indicatrix, the principal normal indicatrix, the binormal indicatrix

Kaynak

Mathematical Communications

WoS Q Değeri

Q4

Scopus Q Değeri

Q3

Cilt

19

Sayı

1

Künye

Gök, İsmail & Nurkan, Semra & Ilarslan, Kazim & Kula, Levent & Mesut, Altinok. (2014). Characterizations of Spacelike Slant Helices In Minkowski 3-Space. Mathematical Communications. 19(1), 119-138.