ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n
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- [1] Camci, C., Ilarslan, K., Kula, L. and Hacisalihoglu, H.H., Harmonic cuvature and generalized
helices, Chaos Solitons & Fractals, 40 (2009), 2590-2596.
- [2] Gluck, H., Higher curvatures of curves in Euclidean space, Amer. Math. Monthly,73(1966),
699-704.
- [3] Kuhnel, W., Differential geometry: curves-surfaces-manifolds, Braunschweig, Wiesbaden, 1999.
- [4] Monterde, J., Curves with constant curvature ratios, Bol. Soc. Mat. Mexicana (3) 13 (2007), no.
1, 177–186.
- [5] Ozdamar, E. and Hacisalihoglu, H.H., A characterization of inclined curves in Euclidean n-
space, Comm. Fac. Sci. Univ. Ankara, Ser A1, 24 (1975), 15-23.
- [6] Romero-Fuster, M. C. and Sanabria-Codesal, E., Generalized helices, twistings and flattenings
of curves in n-space. 10th School on Differential Geometry (Portuguese) (Belo Horizonte, 1998).
Mat. Contemp. 17 (1999), 267-280.
- [7] Uribe-Vargas, R., On vertices, focal curvatures and differential geometry of space curves, Bull
Braz. Math. Soc., 36 (2005) 285-307.
- [8] Wong, Y. C., A global formulation of the condition for a curve to lie in a sphere. Monatsh.
Math., 67 (1963), 363-365.
- [9] Wong, Y. C., On a explicit characterization of spherical curves,Proc. Amer. Math. Soc., 34
(1972), 239-242.