Araştırma Makalesi
BibTex RIS Kaynak Göster

A New Characterization For Inclined Curves by the Help of Spherical Representations

Yıl 2009, Cilt: 2 Sayı: 2, 71 - 75, 30.10.2009

H.hilmi Hacısalihoğlu

Öz


Anahtar Kelimeler

Inclined curve harmonic curvature ordinary helix

Kaynakça

  • [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).

Yıl 2009, Cilt: 2 Sayı: 2, 71 - 75, 30.10.2009

H.hilmi Hacısalihoğlu

Öz

Kaynakça

  • [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).
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

H.hilmi Hacısalihoğlu Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2009
Yayımlandığı Sayı Yıl 2009 Cilt: 2 Sayı: 2

Kaynak Göster

APA Hacısalihoğlu, H. (2009). A New Characterization For Inclined Curves by the Help of Spherical Representations. International Electronic Journal of Geometry, 2(2), 71-75.
AMA Hacısalihoğlu H. A New Characterization For Inclined Curves by the Help of Spherical Representations. Int. Electron. J. Geom. Ekim 2009;2(2):71-75.
Chicago Hacısalihoğlu, H.hilmi. “A New Characterization For Inclined Curves by the Help of Spherical Representations”. International Electronic Journal of Geometry 2, sy. 2 (Ekim 2009): 71-75.
EndNote Hacısalihoğlu H (01 Ekim 2009) A New Characterization For Inclined Curves by the Help of Spherical Representations. International Electronic Journal of Geometry 2 2 71–75.
IEEE H. Hacısalihoğlu, “A New Characterization For Inclined Curves by the Help of Spherical Representations”, Int. Electron. J. Geom., c. 2, sy. 2, ss. 71–75, 2009.
ISNAD Hacısalihoğlu, H.hilmi. “A New Characterization For Inclined Curves by the Help of Spherical Representations”. International Electronic Journal of Geometry 2/2 (Ekim 2009), 71-75.
JAMA Hacısalihoğlu H. A New Characterization For Inclined Curves by the Help of Spherical Representations. Int. Electron. J. Geom. 2009;2:71–75.
MLA Hacısalihoğlu, H.hilmi. “A New Characterization For Inclined Curves by the Help of Spherical Representations”. International Electronic Journal of Geometry, c. 2, sy. 2, 2009, ss. 71-75.
Vancouver Hacısalihoğlu H. A New Characterization For Inclined Curves by the Help of Spherical Representations. Int. Electron. J. Geom. 2009;2(2):71-5.