On the hyperbolic cylindrical Tzitzeica curves in Minkowski 3-space

Murat Kemal Karaca, Bahaddin Bükücü


In this study, we have given necessary and sufficient conditions to be of spacelike, timelike and null curve of the two different hyperbolic cylindrical Tzitzeica curve in Minkowski 3-Space. Here, hyperbolic cylindrical curves satisfying Tzitzeica condition are obtained via the solution of the harmonic equation

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M. Petrovic-Torgasev, E. Sucurovic , "Some Characterizations of The Spacelike, The Timelike and The Null Curves on The Pseudohyperbolic Space 2 in E 3 ", Kragujevac J. Math. ,Vol 22, pp:71-82, 2000

M. Crasmareanu ,”Cylindrical Tzitzeica Curves Implies Forced Harmonic, Oscillators", Balkan Journal of Geometry and Its Applications,Vol. 7, No. 1, pp 37-42, 2002

E. Akyıldız,Y. Akyıldız, Alpay, A. Erkip and A. Yazıcı,"Lecture Notes on Differential Equations", Metu Publications, pp: 293, 1981

B. Bukcu, M. K. Karacan, "On the involute and evolute curves of the spacelike curve with a spacelike binormal in Minkowski 3-space", Int. Journal of Contemp. Math. Sciences, Vol. 2„ no. 5-8, 2007

S. L. Ross, "Differential Equation", John Wiley & Sons , Inc, New York,1984


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