A New Characterization For Inclined Curves by the Help of Spherical Representations
___
- [1] K. Sakomato, Helical immersions into a unit sphere, Math. Ann. 261 (1982). 63-80.
- [2] Y. Hong and C. S. Houh, Helical immersions and normal sections. Kodai Math. J. 8 (1985),
171-192.
- [3] Hayden HA., On a generalized helix in a Riemannian n-space. Proc. London Math. Soc., 12
(1986), 1-10.
- [4] J. Monterde, Curves with constant curvature Ratios, arXIV. mat. DG/ 0412323 1(2004).
- [5] M. C. Romero-Fuster, E. Sanabria-Codesal, Generalized helices, twistings and flattenings of
curves in n-space, Mathematica Contemporanea, Vol. 17 (1999), 267-280.
- [6] Barros M. General helices and a theorem of Lancert. Proc. AMS 1997 ; 125 : 1503-9. [7] Chouaieb
N, Goriely A. Maddocks JH. Helices PNAS 2006 ; 103 (25) : 9398- 403.
- [8] Cook TA. the curves of life, Constable, London-1914 ; Reprinted (Dover, London- 1979).
- [9] Hayden HA., On a generalized helix in a Riemannian n-space. Proc. London Math. Soc. (2)
1931 ; 32 : 37-45.
- [10] Bektaş M., Balgetir H. and Ergüt M., On a charactarerization of null helix, Bull. Inst.
Math. Acad. Sinica, 29 (2001), 71-78.
- [11] Bektaş M., Balgetir H. and Ergüt M., Inclined curves or null curves in the 3-dimensional
Lorentzian manifold and their characterization. J. Inst. Math. Comp. Sci., 12 (1999), 117- 120.
- [12] Ekmekçi, N. and Ilarslan K., On characterization of general helices in Lorentz Space,
Hadronic J.,23 (2000),no.6, 677-682.
- [13] Ekmekçi, N. and Hacısalihog˘lu, H. H., On helices of Lorentzian manifolds, Comm. Fac.Sci.
Univ. Ankara, Series A1. V. 45, pp.45-50 (1996).
- [14] Özdamar, E. and Hacısalihog˘lu, H. H. A characterization of inclined curves in Euclidean
n-space. Comm. Fac. Sci. Univ. Ankara, Series A1, V. 24, pp. 15-23 (1975).
- [15] Arslan K., Çelik Y. and Hacısalihoğlu H. H. On harmonic curvatures of a Frenet curves,
Comm. Fac. Sci. Univ. Ankara, Series A1,V.48, pp 15-23, 2000.
- [16] Ekmekçi, N. and Hacısalihoğlu, H. H., Ilarslan K., Harmonic curvatures in Lorentzian space,
Bull. Malays. Math. Sci. Soc. (2) 23 (2000), no. 2, 173-179.
- [17] Hacısalihoğlu H. H. and Öztürk R., On the characterization of inclined curves
in EnI.Tensor,N.S. V. 64 (2003).
- [18] Hacısalihoğlu H. H. and Öztürk R., On the characterization of inclined curves
in En II.Tensor,N.S. V. 64 (2003).
- [19] Ekmekçi, N. and Hacısalihoğlu, H. H. , On characterization of general helices of a
Lorentzian manifold. Comm. Fac. Sci. Univ. Ankara, Series A1, V. 45, pp. 45-50 (1996).
- [20] Camci, C., Ilarslan K., Kula, L. and Hacısalihoğlu, H. H. , Harmonic curvatures and gener-
alized helices in En, Chaos Solutions Fractals, V. 40, No:5, pp. 2590-2596 (2009).