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

Süleyman Şenyurt; Ömer Faruk Çalışkan

Research Article

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

Year 2013, Volume: 6 Issue: 2, 88 - 99, 30.10.2013

Süleyman Şenyurt Ömer Faruk Çalışkan

Abstract

Keywords

Lorentz Space, Timelike Bertrand Curve Couple, Natural Lift, Geodesic Spray

References

[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.

Year 2013, Volume: 6 Issue: 2, 88 - 99, 30.10.2013

Süleyman Şenyurt Ömer Faruk Çalışkan

Abstract

References

[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.

There are 8 citations in total.

Details

Primary Language	English
Journal Section	Research Article
Authors	Süleyman Şenyurt This is me Ömer Faruk Çalışkan This is me
Publication Date	October 30, 2013
Published in Issue	Year 2013 Volume: 6 Issue: 2

Cite

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. October 2013;6(2):88-99.
Chicago	Şenyurt, Süleyman, and 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, no. 2 (October 2013): 88-99.
EndNote	Şenyurt S, Çalışkan ÖF (October 1, 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 and Ö. F. Çalışkan, “THE NATURAL LIFT CURVES AND GEODESIC CURVATURES OF THE SPHERICAL INDICATRICES OF THE TIMELIKE BERTRAND CURVE COUPLE”, Int. Electron. J. Geom., vol. 6, no. 2, pp. 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 (October 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 and 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, vol. 6, no. 2, 2013, pp. 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.