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

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

Araştırma Makalesi

Yıl 2013, Cilt: 6 Sayı: 2, 63 - 69, 30.10.2013

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

Öz

Kaynakça

[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

Yıl 2013, Cilt: 6 Sayı: 2, 63 - 69, 30.10.2013

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

Öz

Anahtar Kelimeler

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

Kaynakça

[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.

Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Bölüm	Araştırma Makalesi
Yazarlar	Çetin Camcı Levent Kula Kazim İlarslan H. Hilmi Hacısalihoğlu
Yayımlanma Tarihi	30 Ekim 2013
Yayımlandığı Sayı	Yıl 2013 Cilt: 6 Sayı: 2

Kaynak Göster

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. Ekim 2013;6(2):63-69.
Chicago	Camcı, Çetin, Levent Kula, Kazim İlarslan, ve H. Hilmi Hacısalihoğlu. “ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n”. International Electronic Journal of Geometry 6, sy. 2 (Ekim 2013): 63-69.
EndNote	Camcı Ç, Kula L, İlarslan K, Hacısalihoğlu HH (01 Ekim 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, ve H. H. Hacısalihoğlu, “ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n”, Int. Electron. J. Geom., c. 6, sy. 2, ss. 63–69, 2013.
ISNAD	Camcı, Çetin vd. “ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n”. International Electronic Journal of Geometry 6/2 (Ekim 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 vd. “ON THE EXPLICIT CHARACTERIZATION OF CURVES ON A (n − 1)-SPHERE IN S^n”. International Electronic Journal of Geometry, c. 6, sy. 2, 2013, ss. 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.