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ON GENERALIZED TIMELIKE MANNHEIM CURVES IN MINKOWSKI SPACE-TIME
- Publication Year :
- 2015
- Publisher :
- Taylor & Francis Ltd, 2015.
-
Abstract
- Nesovic, Emilija/0000-0003-3600-0486 WOS: 000376031600006 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.
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....d1425f9b1e91be80cf89e652c1ed54ed