On characterizations of some special curves of timelike curves according to the Bishop frame of type-2 in Minkowski 3-space

In this paper, first we give a characterization of timelike inclined curves according to the type-2 Bishop frame in Minkowski 3-space, and then define rectifying curves of timelike curves according to the type-2 Bishop frame in Minkowski 3-space as their position vectors always lie in the orthogonal...

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Hauptverfasser:	Yilmaz, Süha, Ünlütürk, Yasin, Mağden, Abdullah
Format:	Tagungsbericht
Sprache:	eng
Schlagworte:	Curvature Mathematical analysis Minkowski space Vectors (mathematics)
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creator	Yilmaz, Süha Ünlütürk, Yasin Mağden, Abdullah
description	In this paper, first we give a characterization of timelike inclined curves according to the type-2 Bishop frame in Minkowski 3-space, and then define rectifying curves of timelike curves according to the type-2 Bishop frame in Minkowski 3-space as their position vectors always lie in the orthogonal complement Ω 2 ⊥ of their vector field Ω 2 ⊥ . Moreover we characterize Bertrand curves in the same space via the new frame. In particular, we study Mannheim partner curves according to type-2 Bishop frame in E 1 3 and express such curves in terms of their curvature functions.
doi_str_mv	10.1063/1.4945908
format	Conference Proceeding
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source	American Institute of Physics (AIP) Journals
subjects	Curvature Mathematical analysis Minkowski space Vectors (mathematics)
title	On characterizations of some special curves of timelike curves according to the Bishop frame of type-2 in Minkowski 3-space
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