ON SMARANDACHE CURVES LYING IN LIGHTCONE IN MINKOWSKI 3-SPACE

[ X ]

Tarih

2014

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Taylor & Francis Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper we define the spacelike and the null lightcone Smarandache curves of a spacelike lightcone curve a according to the lightcone Frenet frame of a a in Minkowski 3-space. We obtain the lightcone curvature and the expressions for the lightcone Frenet frame's vectors of a spacelike Smarandache curve of a. We prove that if the null straight line is the lightcone Smarandache curve of a, then a has non-zero constant lightcone curvature. Finally, we give some examples of lightcone Smarandache curves.

Açıklama

Anahtar Kelimeler

Smarandache curves; Pseudosphere; Sabban frame; Geodesic curvature; Minkowski space

Kaynak

Journal of Dynamical Systems and Geometric Theories

WoS Q Değeri

N/A

Scopus Q Değeri

Cilt

12

Sayı

1

Künye