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

Year 2009, Volume: 2 Issue: 2, 71 - 75, 30.10.2009

H.hilmi Hacısalihoğlu

Abstract


Keywords

Inclined curve harmonic curvature ordinary helix

References

  • [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).

Year 2009, Volume: 2 Issue: 2, 71 - 75, 30.10.2009

H.hilmi Hacısalihoğlu

Abstract

References

  • [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).
There are 19 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

H.hilmi Hacısalihoğlu This is me

Publication Date October 30, 2009
Published in Issue Year 2009 Volume: 2 Issue: 2

Cite

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. October 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, no. 2 (October 2009): 71-75.
EndNote Hacısalihoğlu H (October 1, 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., vol. 2, no. 2, pp. 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 (October 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, vol. 2, no. 2, 2009, pp. 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.