BibTex RIS Cite

Bour's Theorem on the Gauss Map in 3-Euclidean Space  ABSTRACT  |  FULL TEXT 

Year 2010, Volume: 39 Issue: 4, 515 - 525, 01.04.2010

References

  • Beneki, Chr. C., Kaimakamis, G. and Papantoniou, B. J. Helicoidal surfaces in three dimen- sional Minkowski space, J. Math. Anlys. Appl. 275, 586-614, 2002.
  • Bour, E. Memoire sur le deformation de surfaces, Journal de l’ˆEcole Polytechnique, XXXIXCahier, 1–148, 1862.
  • Do Carmo, M. P. and Dajczer, M. Helicoidal surfaces with constant mean curvature, Tohoku Math. J. 34, 425–435, 1982.
  • G¨uler, E. Helicoidal surfaces in three dimensional Minkowski space (M.Sc. Thesis, Gazi University, Ankara, 2005).
  • G¨uler, E. Bour’s theorem and lightlike profile curve, Yokohama Math. J. 54 (1), 55–77, 2007.
  • Ikawa, T. Bour’s theorem and Gauss map, Yokohama Math. J. 48, 173–180, 2000.
  • K¨uhnel W. Differential Geometry Curves-Surfaces-Manifolds (AMS, 2nd edition, USA, 2006).
  • O’Neill, B. Elementary Differential Geometry (Academic Press, New York, 1966).

Bour's Theorem on the Gauss Map in 3-Euclidean Space  ABSTRACT  |  FULL TEXT 

Year 2010, Volume: 39 Issue: 4, 515 - 525, 01.04.2010

References

  • Beneki, Chr. C., Kaimakamis, G. and Papantoniou, B. J. Helicoidal surfaces in three dimen- sional Minkowski space, J. Math. Anlys. Appl. 275, 586-614, 2002.
  • Bour, E. Memoire sur le deformation de surfaces, Journal de l’ˆEcole Polytechnique, XXXIXCahier, 1–148, 1862.
  • Do Carmo, M. P. and Dajczer, M. Helicoidal surfaces with constant mean curvature, Tohoku Math. J. 34, 425–435, 1982.
  • G¨uler, E. Helicoidal surfaces in three dimensional Minkowski space (M.Sc. Thesis, Gazi University, Ankara, 2005).
  • G¨uler, E. Bour’s theorem and lightlike profile curve, Yokohama Math. J. 54 (1), 55–77, 2007.
  • Ikawa, T. Bour’s theorem and Gauss map, Yokohama Math. J. 48, 173–180, 2000.
  • K¨uhnel W. Differential Geometry Curves-Surfaces-Manifolds (AMS, 2nd edition, USA, 2006).
  • O’Neill, B. Elementary Differential Geometry (Academic Press, New York, 1966).
There are 8 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Erhan Güler

Yusuf Yayli This is me

 h. Hilmi Hacisalihoglu This is me

Publication Date April 1, 2010
Published in Issue Year 2010 Volume: 39 Issue: 4

Cite

APA Güler, E., Yayli, Y., & Hacisalihoglu, .H. (2010). Bour’s Theorem on the Gauss Map in 3-Euclidean Space  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 39(4), 515-525.
AMA Güler E, Yayli Y, Hacisalihoglu H. Bour’s Theorem on the Gauss Map in 3-Euclidean Space  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. April 2010;39(4):515-525.
Chicago Güler, Erhan, Yusuf Yayli, and  h. Hilmi Hacisalihoglu. “Bour’s Theorem on the Gauss Map in 3-Euclidean Space  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 39, no. 4 (April 2010): 515-25.
EndNote Güler E, Yayli Y, Hacisalihoglu H (April 1, 2010) Bour’s Theorem on the Gauss Map in 3-Euclidean Space  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 39 4 515–525.
IEEE E. Güler, Y. Yayli, and  . H. Hacisalihoglu, “Bour’s Theorem on the Gauss Map in 3-Euclidean Space  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 4, pp. 515–525, 2010.
ISNAD Güler, Erhan et al. “Bour’s Theorem on the Gauss Map in 3-Euclidean Space  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 39/4 (April 2010), 515-525.
JAMA Güler E, Yayli Y, Hacisalihoglu H. Bour’s Theorem on the Gauss Map in 3-Euclidean Space  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2010;39:515–525.
MLA Güler, Erhan et al. “Bour’s Theorem on the Gauss Map in 3-Euclidean Space  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 4, 2010, pp. 515-2.
Vancouver Güler E, Yayli Y, Hacisalihoglu H. Bour’s Theorem on the Gauss Map in 3-Euclidean Space  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2010;39(4):515-2.