Araştırma Makalesi
BibTex RIS Kaynak Göster

THE NATURAL LIFT CURVES AND GEODESIC CURVATURES OF THE SPHERICAL INDICATRICES OF THE TIMELIKE BERTRAND CURVE COUPLE

Yıl 2013, Cilt: 6 Sayı: 2, 88 - 99, 30.10.2013

Süleyman Şenyurt Ömer Faruk Çalışkan

Öz


Anahtar Kelimeler

Lorentz Space Timelike Bertrand Curve Couple Natural Lift Geodesic Spray

Kaynakça

  • [1] Akutagawa, K. and Nishikawa S., The Gauss Map and Spacelike Surfaces with Prescribed Mean Curvature in Minkowski 3-space, Tohoku Math., J. 42(1990), 67-82.
  • [2] Bilici, M., Ph.d. Dissertation, Ondokuzmayıs University Institute of Science and Technology, Samsun, 2009.
  • [3] Calışkan M., Sivridağ A.I˙., Hacısalihoğlu H. H., Some Characterizations For The Natural Lift Curves And The Geodesic Sprays, Commun. Fac. Sci. Ank. Series A1 33(1984), 235-242.
  • [4] Ekmekçi, N. and Ilarslan K., On Bertrand Curves and Their Characterization, Differential Geometry-Dynamical Systems, 3(2001), 17-24.
  • [5] O’Neill, B., Semi Riemann Geometry, Academic Press, New York, London, 1983.
  • [6] Uğurlu, H.H., On the Geometry of Timelike Surfaces, Commun. Fac. Sci. Ank. Series A1 46(1997), 211-223.
  • [7] Thorpe, J.A., Elemantary Topics in Differential Geometry, Springer. New York. 1979.
  • [8] Woestijne, V.D.I., Minimal Surfaces of the 3-dimensional Minkowski space. Proc. Congres Geometrie differentielle et aplications, Avignon (30 May 1988), Wold Scientific Publishing. Singapore. 344-369, 1990.

Yıl 2013, Cilt: 6 Sayı: 2, 88 - 99, 30.10.2013

Süleyman Şenyurt Ömer Faruk Çalışkan

Öz

Kaynakça

  • [1] Akutagawa, K. and Nishikawa S., The Gauss Map and Spacelike Surfaces with Prescribed Mean Curvature in Minkowski 3-space, Tohoku Math., J. 42(1990), 67-82.
  • [2] Bilici, M., Ph.d. Dissertation, Ondokuzmayıs University Institute of Science and Technology, Samsun, 2009.
  • [3] Calışkan M., Sivridağ A.I˙., Hacısalihoğlu H. H., Some Characterizations For The Natural Lift Curves And The Geodesic Sprays, Commun. Fac. Sci. Ank. Series A1 33(1984), 235-242.
  • [4] Ekmekçi, N. and Ilarslan K., On Bertrand Curves and Their Characterization, Differential Geometry-Dynamical Systems, 3(2001), 17-24.
  • [5] O’Neill, B., Semi Riemann Geometry, Academic Press, New York, London, 1983.
  • [6] Uğurlu, H.H., On the Geometry of Timelike Surfaces, Commun. Fac. Sci. Ank. Series A1 46(1997), 211-223.
  • [7] Thorpe, J.A., Elemantary Topics in Differential Geometry, Springer. New York. 1979.
  • [8] Woestijne, V.D.I., Minimal Surfaces of the 3-dimensional Minkowski space. Proc. Congres Geometrie differentielle et aplications, Avignon (30 May 1988), Wold Scientific Publishing. Singapore. 344-369, 1990.
Toplam 8 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Süleyman Şenyurt Bu kişi benim

Ömer Faruk Çalışkan Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2013
Yayımlandığı Sayı Yıl 2013 Cilt: 6 Sayı: 2

Kaynak Göster

APA Şenyurt, S., & Çalışkan, Ö. F. (2013). THE NATURAL LIFT CURVES AND GEODESIC CURVATURES OF THE SPHERICAL INDICATRICES OF THE TIMELIKE BERTRAND CURVE COUPLE. International Electronic Journal of Geometry, 6(2), 88-99.
AMA Şenyurt S, Çalışkan ÖF. THE NATURAL LIFT CURVES AND GEODESIC CURVATURES OF THE SPHERICAL INDICATRICES OF THE TIMELIKE BERTRAND CURVE COUPLE. Int. Electron. J. Geom. Ekim 2013;6(2):88-99.
Chicago Şenyurt, Süleyman, ve Ömer Faruk Çalışkan. “THE NATURAL LIFT CURVES AND GEODESIC CURVATURES OF THE SPHERICAL INDICATRICES OF THE TIMELIKE BERTRAND CURVE COUPLE”. International Electronic Journal of Geometry 6, sy. 2 (Ekim 2013): 88-99.
EndNote Şenyurt S, Çalışkan ÖF (01 Ekim 2013) THE NATURAL LIFT CURVES AND GEODESIC CURVATURES OF THE SPHERICAL INDICATRICES OF THE TIMELIKE BERTRAND CURVE COUPLE. International Electronic Journal of Geometry 6 2 88–99.
IEEE S. Şenyurt ve Ö. F. Çalışkan, “THE NATURAL LIFT CURVES AND GEODESIC CURVATURES OF THE SPHERICAL INDICATRICES OF THE TIMELIKE BERTRAND CURVE COUPLE”, Int. Electron. J. Geom., c. 6, sy. 2, ss. 88–99, 2013.
ISNAD Şenyurt, Süleyman - Çalışkan, Ömer Faruk. “THE NATURAL LIFT CURVES AND GEODESIC CURVATURES OF THE SPHERICAL INDICATRICES OF THE TIMELIKE BERTRAND CURVE COUPLE”. International Electronic Journal of Geometry 6/2 (Ekim 2013), 88-99.
JAMA Şenyurt S, Çalışkan ÖF. THE NATURAL LIFT CURVES AND GEODESIC CURVATURES OF THE SPHERICAL INDICATRICES OF THE TIMELIKE BERTRAND CURVE COUPLE. Int. Electron. J. Geom. 2013;6:88–99.
MLA Şenyurt, Süleyman ve Ömer Faruk Çalışkan. “THE NATURAL LIFT CURVES AND GEODESIC CURVATURES OF THE SPHERICAL INDICATRICES OF THE TIMELIKE BERTRAND CURVE COUPLE”. International Electronic Journal of Geometry, c. 6, sy. 2, 2013, ss. 88-99.
Vancouver Şenyurt S, Çalışkan ÖF. THE NATURAL LIFT CURVES AND GEODESIC CURVATURES OF THE SPHERICAL INDICATRICES OF THE TIMELIKE BERTRAND CURVE COUPLE. Int. Electron. J. Geom. 2013;6(2):88-99.