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On Generalized Timelike Mannheim Curves in Minkowski Space-time
Ali UçumALIUCUM05@GMAIL.COMDepartment of mathematicsfaculty of sciences and artskirikkale universitykirikkale, turkeyView full profile → , Emilija NešovićNESOVICKG@SBB.RSDepartment of mathematics and informaticsfaculty of scienceUniversity of kragujevackragujevac, serbiaView full profile → , Kazim IlarslanKILARSLAN@YAHOO.COMDepartment of mathematicsfaculty of sciences and artskirikkale universitykirikkale, turkeyView full profile →
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- Received:
- 02 Feb 2015
- Accepted:
- 13 Mar 2015
- Published Online:
- 02 Jun 2015
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2015.1035043
- Pages:
- 71–94
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 a* of the timelike curve a as a timelike curve in Minkowski space-time undefinedIn this statement, the plane spanned by undefinedbecomes a spacelike plane. Thus the other possible cases such as timelike and null for the plane spanned by undefinedis not considered. In this paper, by taking consideration of all possible causal characters of the plane spanned by undefinedwe give the necessary and sufficient conditions for timelike curves in undefinedto be generalized timelike Mannheim curves in terms of their curvature functions. Also, the related examples are given.
Keywords
Subject Classifications
: 53C5053C40
References
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