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Constant Angle Surfaces And Curves In E^3

Year 2011, Volume: 4 Issue: 1, 70 - 78, 30.04.2011

Abstract


References

  • [1] Cermelli, P., Di Scala A., J.: Constant angle surfaces in liquid crystals. Phylos Magazine. 87 (2007), 1871-1888.
  • [2] Dillen, F., Fastenakels, J., Van der Veken J., Vrancken, L.: Constant angle surfaces in S2 × R. Monaths. Math. 152 (2007), 89–96.
  • [3] Dillen, F., Munteanu, M.,I.: Constant Angle Surfaces in H2 × R. Bull. Braz.Math. Soc. 40 (2009), 85–97.
  • [4] Gray, A., Abbena, E., Salamon, S.: Modern Geometry of Curves and Surfaces with Mathe- matica. 3rd Edition. Studies in Advanced Mathematics. 47, 2006.
  • [5] Izumiya, S., Takeuchi, N.: New special curves and developable surfaces. Turk. J. Math. Vol. 28 (2004), 153-163.
  • [6] Kuhnel, W.: Differential Geometry Curves-Surfaces-Manifolds. Wiesbaden Braunchweig 1999.
  • [7] Kula, L., Yaylı, Y.: On slant helix and its spherical indicatrix. Appl. Math. and Comp. Vol. 169 (2005), 600-607.
  • [8] Munteanu, M.I., Nistor, A. I.: A New Approach on Constant Angle Surfaces in E3. Turk. J. Math. Vol. 33 (2009). 169-178.
  • [9] Nistor, A.: Certain Constant Angle Surfaces Constructed on Curves. arXiv:0904.1475v1
  • [10] Scofield, P. D.: Curves of constant precession. Am. Math. Montly 102 (1995), 531-537.
  • [11] Struik, D.J.: Lectures on Classical Differential Geometry. New York. Dover. 1988.
  • [12] Şenol, A.: General helices in space forms. Ph.D. Thesis. Ankara University. Graduate School of Natural and Applied Sciences 2008.
Year 2011, Volume: 4 Issue: 1, 70 - 78, 30.04.2011

Abstract

References

  • [1] Cermelli, P., Di Scala A., J.: Constant angle surfaces in liquid crystals. Phylos Magazine. 87 (2007), 1871-1888.
  • [2] Dillen, F., Fastenakels, J., Van der Veken J., Vrancken, L.: Constant angle surfaces in S2 × R. Monaths. Math. 152 (2007), 89–96.
  • [3] Dillen, F., Munteanu, M.,I.: Constant Angle Surfaces in H2 × R. Bull. Braz.Math. Soc. 40 (2009), 85–97.
  • [4] Gray, A., Abbena, E., Salamon, S.: Modern Geometry of Curves and Surfaces with Mathe- matica. 3rd Edition. Studies in Advanced Mathematics. 47, 2006.
  • [5] Izumiya, S., Takeuchi, N.: New special curves and developable surfaces. Turk. J. Math. Vol. 28 (2004), 153-163.
  • [6] Kuhnel, W.: Differential Geometry Curves-Surfaces-Manifolds. Wiesbaden Braunchweig 1999.
  • [7] Kula, L., Yaylı, Y.: On slant helix and its spherical indicatrix. Appl. Math. and Comp. Vol. 169 (2005), 600-607.
  • [8] Munteanu, M.I., Nistor, A. I.: A New Approach on Constant Angle Surfaces in E3. Turk. J. Math. Vol. 33 (2009). 169-178.
  • [9] Nistor, A.: Certain Constant Angle Surfaces Constructed on Curves. arXiv:0904.1475v1
  • [10] Scofield, P. D.: Curves of constant precession. Am. Math. Montly 102 (1995), 531-537.
  • [11] Struik, D.J.: Lectures on Classical Differential Geometry. New York. Dover. 1988.
  • [12] Şenol, A.: General helices in space forms. Ph.D. Thesis. Ankara University. Graduate School of Natural and Applied Sciences 2008.
There are 12 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Sıddıka Özkaldı This is me

Yusuf Yaylı

Publication Date April 30, 2011
Published in Issue Year 2011 Volume: 4 Issue: 1

Cite

APA Özkaldı, S., & Yaylı, Y. (2011). Constant Angle Surfaces And Curves In E^3. International Electronic Journal of Geometry, 4(1), 70-78.
AMA Özkaldı S, Yaylı Y. Constant Angle Surfaces And Curves In E^3. Int. Electron. J. Geom. April 2011;4(1):70-78.
Chicago Özkaldı, Sıddıka, and Yusuf Yaylı. “Constant Angle Surfaces And Curves In E^3”. International Electronic Journal of Geometry 4, no. 1 (April 2011): 70-78.
EndNote Özkaldı S, Yaylı Y (April 1, 2011) Constant Angle Surfaces And Curves In E^3. International Electronic Journal of Geometry 4 1 70–78.
IEEE S. Özkaldı and Y. Yaylı, “Constant Angle Surfaces And Curves In E^3”, Int. Electron. J. Geom., vol. 4, no. 1, pp. 70–78, 2011.
ISNAD Özkaldı, Sıddıka - Yaylı, Yusuf. “Constant Angle Surfaces And Curves In E^3”. International Electronic Journal of Geometry 4/1 (April 2011), 70-78.
JAMA Özkaldı S, Yaylı Y. Constant Angle Surfaces And Curves In E^3. Int. Electron. J. Geom. 2011;4:70–78.
MLA Özkaldı, Sıddıka and Yusuf Yaylı. “Constant Angle Surfaces And Curves In E^3”. International Electronic Journal of Geometry, vol. 4, no. 1, 2011, pp. 70-78.
Vancouver Özkaldı S, Yaylı Y. Constant Angle Surfaces And Curves In E^3. Int. Electron. J. Geom. 2011;4(1):70-8.