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Non-null Special Curves of AW(k)-type in Minkowski 3-Space

Handan Öztekin*, Sezin Aykurt**

* Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey.

** Department of Mathematics, Faculty of Science and Art, Ahi Evran University, Kirsehir, Turkey

Periodicity:April - June'2012
DOI : https://doi.org/10.26634/jmat.1.2.1848

Abstract

In this paper, firstly, we consider non-null curves of -type in -dimensional Minkowski space and obtain some relations between first and second curvatures of them. Then, we give some conditions in order to be non-null Bertrand curve of -type curves with and in . Also, we deal with weak -type and weak -type non-null curves and investigate first curvature for weak .

Keywords

AW (k)-type curve, Bertrand curve, helix, conical geodesic curve, cylindrical helix.

How to Cite this Article?

Öztekin, H., and Aykurt, S. (2012). Non-Null Special Curves of Aw(K)-Type in Minkowski 3-Space. i-manager’s Journal on Mathematics, 1(2), 20-25. https://doi.org/10.26634/jmat.1.2.1848

References

[1]. Arslan, K., Özgür, C., Curves and surfaces of AW(k)-type, Geometry and topology of submanifolds, IX (Valenciennes/Lyon/Leuven, 1997), 21-26, Word Sci. Publishing, River Edge, NJ, 1999.

[2]. Balgetir, H., Bektas, M., Ergüt, M., Bertrand curves for nonnull curves in 3-dimensional Lorentzian space, Hadronic J. 27 (2004) 229-236.

[3]. Ilarslan, K., Nešovic, E., On rectifying curves as centrodes and extremal curves in the Minkowski 3-space. Novi Sad J. Math., 2007, 37(1): 53 - 64.

[4]. Izumiya, S., Takeuchi, N., Generic properties of helices and Bertrand curves, J. Geom. 74 (2002) 97-109.

[5]. Izumiya, S., Takeuchi, N., New special curves and developable surfaces, Turkish J. Math. 28 (2) (2004) 153-163.

[6]. Külahci, M., Bektas, M., Ergüt, M., On Harmonic Curvatures of Null Curves of the AW(k)-type in Lorentzian Space, Z. Naturforsch.63a, 248-252, 2008.

[7]. Külahci, M., Ergüt, M., Bertrand curves of AW(k)-type in Lorentzian space, Nonlinear Analysis, 70(2009),1725-1731.

[8]. Özgür, C., Gezgin, F., On some curves of AW(k)-type, Differ. Geom. Dyn. Syst. 7 (2005) 74-80.

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Non-null Special Curves of AW(k)-type in Minkowski 3-Space

Abstract

Keywords

How to Cite this Article?

References

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