ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n

Çetin Camcı; Levent Kula; Kazim İlarslan; H. Hilmi Hacısalihoğlu

Research Article

Year 2013, Volume: 6 Issue: 2, 63 - 69, 30.10.2013

Çetin Camcı Levent Kula Kazim İlarslan H. Hilmi Hacısalihoğlu

Abstract

References

[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.

ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n

Year 2013, Volume: 6 Issue: 2, 63 - 69, 30.10.2013

Çetin Camcı Levent Kula Kazim İlarslan H. Hilmi Hacısalihoğlu

Abstract

Keywords

Harmonic curvature, focal curvature, spherical curve, generalized helix, tangent indicatrix

References

[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.

There are 9 citations in total.

Details

Primary Language	English
Journal Section	Research Article
Authors	Çetin Camcı Levent Kula Kazim İlarslan H. Hilmi Hacısalihoğlu This is me
Publication Date	October 30, 2013
Published in Issue	Year 2013 Volume: 6 Issue: 2

Cite

APA	Camcı, Ç., Kula, L., İlarslan, K., Hacısalihoğlu, H. H. (2013). ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n. International Electronic Journal of Geometry, 6(2), 63-69.
AMA	Camcı Ç, Kula L, İlarslan K, Hacısalihoğlu HH. ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n. Int. Electron. J. Geom. October 2013;6(2):63-69.
Chicago	Camcı, Çetin, Levent Kula, Kazim İlarslan, and H. Hilmi Hacısalihoğlu. “ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n”. International Electronic Journal of Geometry 6, no. 2 (October 2013): 63-69.
EndNote	Camcı Ç, Kula L, İlarslan K, Hacısalihoğlu HH (October 1, 2013) ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n. International Electronic Journal of Geometry 6 2 63–69.
IEEE	Ç. Camcı, L. Kula, K. İlarslan, and H. H. Hacısalihoğlu, “ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n”, Int. Electron. J. Geom., vol. 6, no. 2, pp. 63–69, 2013.
ISNAD	Camcı, Çetin et al. “ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n”. International Electronic Journal of Geometry 6/2 (October 2013), 63-69.
JAMA	Camcı Ç, Kula L, İlarslan K, Hacısalihoğlu HH. ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n. Int. Electron. J. Geom. 2013;6:63–69.
MLA	Camcı, Çetin et al. “ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n”. International Electronic Journal of Geometry, vol. 6, no. 2, 2013, pp. 63-69.
Vancouver	Camcı Ç, Kula L, İlarslan K, Hacısalihoğlu HH. ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n. Int. Electron. J. Geom. 2013;6(2):63-9.