On Generalized Timelike Mannheim Curves in Minkowski Space-time
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Date
2015
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis Ltd
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
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.
Description
Nesovic, Emilija/0000-0003-3600-0486
Keywords
Mannheim curve, Minkowski space-time, Frenet vector fields
Journal or Series
Journal Of Dynamical Systems And Geometric Theories
WoS Q Value
N/A
Scopus Q Value
Volume
13
Issue
1
Citation
closedAccess
