On Generalized Timelike Mannheim Curves in Minkowski Space-time
Yükleniyor...
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In Minkowski space-time, timelike generalized Mannheim curves are studied by Akyigit and et al in [1]. In that paper, the authors take the Mannheim mate alpha* of the timelike curve a as a timelike curve in Minkowski space-time E-1(4). In this statement, the plane spanned by {B-1*, B-2*} becomes a spacelike plane. Thus the other possible cases such as timelike and null for the plane spanned by {B-1*, B-2*} is not considered. In this paper, by taking consideration of all possible causal characters of the plane spanned by{B-1*, B-2*}, we give the necessary and sufficient conditions for timelike curves ME to be generalized timelike Mannheim curves in terms of their curvature functions. Also, the related examples are given.
Açıklama
Nesovic, Emilija/0000-0003-3600-0486
Anahtar Kelimeler
Mannheim curve, Minkowski space-time, Frenet vector fields
Kaynak
Journal Of Dynamical Systems And Geometric Theories
WoS Q DeÄŸeri
N/A
Scopus Q DeÄŸeri
Cilt
13
Sayı
1
Künye
closedAccess
