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A Method to Calculate Frenet Apparatus of the Curves in Euclidean-5 Space

Authors: Süha Yılmaz, Melih Turgut

Abstract:

In this paper, a method to calculate Frenet Apparatus of the curves in five dimensional Euclidean space is presented.

Keywords: Classical Differential Geometry, Euclidean-5 space, Frenet Apparatus.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1080275

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References:


[1] F. Akbulut, Vector Calculus. Izmir, Ege University Press. 1981, pp. 185
[2] C. Boyer, A History of Mathematics, New York: Wiley,1968.
[3] H. Gluck, "Higher Curvature of Curves in Euclidean Space," Amer. Math. Monthly, vol. 73, pp. 699-704, 1966.
[4] H.H. Hac─▒saliho─ƒlu, Differential Geometry, Ankara University of Faculty of Science, 2000.
[5] A. Magden, "Characterizations of Some Special Curves in E 4 " Ph.D. dissertation, Dept. Math, Atat├╝rk Univ., Erzurum, Turkey, 1990.
[6] A. Sabuncuo─ƒlu and H.H. Hac─▒saliho─ƒlu, "On Higher Curvature of a Curve," Communications de la Fac. Sci. Uni. Ankara, vol. 24, A1, pp.5.