A Method to Calculate Frenet Apparatus of W-Curves in the Euclidean 6-Space
These In this work, a regular unit speed curve in six
dimensional Euclidean space, whose Frenet curvatures are constant,
is considered. Thereafter, a method to calculate Frenet apparatus of
this curve is presented.
[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] K. Ilarslan and Ö. Boyacıoğlu, Position Vectors of a Space-like W-curve
in Minkowski Space 3
E1 , Bull. Korean Math. Soc. 44 429-438, 2007.
[6] A. Ma─ƒden, "Characterizations of Some Special Curves in E 4 " Ph.D.
dissertation, Dept. Math, Atat├╝rk Univ., Erzurum, Turkey, 1990.
[7] 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.
[8] S. Y─▒lmaz and M. Turgut, "A Method to Calcute Frenet Apparatus of the
Curves in Euclidean-5 space", Int. J. Comput. Math. Sci. Vol. 2, No.2
101-103, 2008.
[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] K. Ilarslan and Ö. Boyacıoğlu, Position Vectors of a Space-like W-curve
in Minkowski Space 3
E1 , Bull. Korean Math. Soc. 44 429-438, 2007.
[6] A. Ma─ƒden, "Characterizations of Some Special Curves in E 4 " Ph.D.
dissertation, Dept. Math, Atat├╝rk Univ., Erzurum, Turkey, 1990.
[7] 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.
[8] S. Y─▒lmaz and M. Turgut, "A Method to Calcute Frenet Apparatus of the
Curves in Euclidean-5 space", Int. J. Comput. Math. Sci. Vol. 2, No.2
101-103, 2008.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:54311", author = "Süha Yılmaz and Melih Turgut", title = "A Method to Calculate Frenet Apparatus of W-Curves in the Euclidean 6-Space", abstract = "These In this work, a regular unit speed curve in six
dimensional Euclidean space, whose Frenet curvatures are constant,
is considered. Thereafter, a method to calculate Frenet apparatus of
this curve is presented.", keywords = "Classical Differential Geometry, Euclidean 6-space,Frenet Apparatus of the curves.", volume = "3", number = "11", pages = "959-3", }