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Certain Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space

Year 2018, Volume: 11 Issue: 1, 37 - 47, 30.04.2018

Abstract

References

  • [1] Atalay, G.¸S., Güler, F. and Kasap, E., Spacelike constant angle surfaces in Minkowski 3-space. J. Math. Comput. Sci., 2(2012), no. 3, 451-461.
  • [2] Cermelli, P. and Di Scala A.J., Constant angle surfaces in liquid crystals. Phylos Magazine, 87(2007), 1871-1888.
  • [3] Dillen, F., Fastenakels, J., Van der Veken J. and Vrancken, L., Constant angle surfaces in S2  R. Monaths. Math., 152(2007), 89-96.
  • [4] Dillen, F., Munteanu, M.I., Constant angle surfaces in H2  R. Bull. Braz. Math. Soc., 40(2009), 85-97.
  • [5] Gray, A., Abbena, E. And Salamon, S., Modern Geometry of Curves and Surfaces with Mathematica, 3rd Edition, Studies in Advanced Mathematics, 47, 2006.
  • [6] Güler, F., ¸Saffak, G. and Kasap, E.,Timelike constant angle surfaces in Minkowski Space R31. Int. J. Contemp. Math. Sciences, Vol. 6(2011), no. 44, 2189-2200.
  • [7] Ikawa, T., On curves and submanifolds in an indefinite-Riemannian manifold. Tsukuba J. Math. , 9-2(1985), 353-371.
  • [8] Izumiya, S. and Takeuchi, N., New special curves and developable surfaces. Turk. J. Math., Vol. 28(2004), 153-163.
  • [9] Kim,Y. H. and Yoon, D. W., Ruled surfaces with pointwise 1-type Gauss map. J. Geometry and Physics, 34(2000), 191-205.
  • [10] Kuhnel, W., Differential Geometry Curves-Surfaces-Manifolds. Wiesbaden Braunchweig 1999.
  • [11] Kula, L. and Yaylı, Y., On slant helix and its spherical indicatrix. Appl. Math. and Comp., Vol. 169(2005), 600-607.
  • [12] Lopez, R. and Munteanu, M.I., Constant angle surfaces in Minkowski Space. Bulletin of the Belgian Mathematical Society, Vol. 18 (2011), no.2, 271-286.
  • [13] Lopez, R., Differential geometry of curves and surfaces in Lorentz-Minkowski space. Int. Electron. J. Geom., 7 (2014), 44–107.
  • [14] Munteanu, M.I. and Nistor, A. I., A new approach on constant angle surfaces in E3. Turk. J. Math. Vol. 33(2009), 169-178.
  • [15] Nistor, A., Certain constant angle surfaces constructed on curves. Int. Electron. J. Geom., Vol. 4(2011), no.1, 79–87.
  • [16] O’Neill, B. Semi-Riemannian Geometry, Academic Press, New York, 1983.
  • [17] Özkaldı, S. and Yaylı, Y., Constant angle surfaces and curves in E3. Int. Electron. J. Geom., Vol. 4(2011), no.1, 70–78.
  • [18] Struik, D.J., Lectures on Classical Differential Geometry, New York, Dover, 1988.
  • [19] ¸Senol, A., Zıplar, E., Yaylı, Y. and Ghadami, R., Darboux helices in Minkowski space R31. Life Science Journal, Vol. 9(2012), no.4, 5905-5910.
Year 2018, Volume: 11 Issue: 1, 37 - 47, 30.04.2018

Abstract

References

  • [1] Atalay, G.¸S., Güler, F. and Kasap, E., Spacelike constant angle surfaces in Minkowski 3-space. J. Math. Comput. Sci., 2(2012), no. 3, 451-461.
  • [2] Cermelli, P. and Di Scala A.J., Constant angle surfaces in liquid crystals. Phylos Magazine, 87(2007), 1871-1888.
  • [3] Dillen, F., Fastenakels, J., Van der Veken J. and Vrancken, L., Constant angle surfaces in S2  R. Monaths. Math., 152(2007), 89-96.
  • [4] Dillen, F., Munteanu, M.I., Constant angle surfaces in H2  R. Bull. Braz. Math. Soc., 40(2009), 85-97.
  • [5] Gray, A., Abbena, E. And Salamon, S., Modern Geometry of Curves and Surfaces with Mathematica, 3rd Edition, Studies in Advanced Mathematics, 47, 2006.
  • [6] Güler, F., ¸Saffak, G. and Kasap, E.,Timelike constant angle surfaces in Minkowski Space R31. Int. J. Contemp. Math. Sciences, Vol. 6(2011), no. 44, 2189-2200.
  • [7] Ikawa, T., On curves and submanifolds in an indefinite-Riemannian manifold. Tsukuba J. Math. , 9-2(1985), 353-371.
  • [8] Izumiya, S. and Takeuchi, N., New special curves and developable surfaces. Turk. J. Math., Vol. 28(2004), 153-163.
  • [9] Kim,Y. H. and Yoon, D. W., Ruled surfaces with pointwise 1-type Gauss map. J. Geometry and Physics, 34(2000), 191-205.
  • [10] Kuhnel, W., Differential Geometry Curves-Surfaces-Manifolds. Wiesbaden Braunchweig 1999.
  • [11] Kula, L. and Yaylı, Y., On slant helix and its spherical indicatrix. Appl. Math. and Comp., Vol. 169(2005), 600-607.
  • [12] Lopez, R. and Munteanu, M.I., Constant angle surfaces in Minkowski Space. Bulletin of the Belgian Mathematical Society, Vol. 18 (2011), no.2, 271-286.
  • [13] Lopez, R., Differential geometry of curves and surfaces in Lorentz-Minkowski space. Int. Electron. J. Geom., 7 (2014), 44–107.
  • [14] Munteanu, M.I. and Nistor, A. I., A new approach on constant angle surfaces in E3. Turk. J. Math. Vol. 33(2009), 169-178.
  • [15] Nistor, A., Certain constant angle surfaces constructed on curves. Int. Electron. J. Geom., Vol. 4(2011), no.1, 79–87.
  • [16] O’Neill, B. Semi-Riemannian Geometry, Academic Press, New York, 1983.
  • [17] Özkaldı, S. and Yaylı, Y., Constant angle surfaces and curves in E3. Int. Electron. J. Geom., Vol. 4(2011), no.1, 70–78.
  • [18] Struik, D.J., Lectures on Classical Differential Geometry, New York, Dover, 1988.
  • [19] ¸Senol, A., Zıplar, E., Yaylı, Y. and Ghadami, R., Darboux helices in Minkowski space R31. Life Science Journal, Vol. 9(2012), no.4, 5905-5910.
There are 19 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Sıddıka Özkaldı Karakuş

Publication Date April 30, 2018
Published in Issue Year 2018 Volume: 11 Issue: 1

Cite

APA Karakuş, S. Ö. (2018). Certain Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space. International Electronic Journal of Geometry, 11(1), 37-47.
AMA Karakuş SÖ. Certain Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space. Int. Electron. J. Geom. April 2018;11(1):37-47.
Chicago Karakuş, Sıddıka Özkaldı. “Certain Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space”. International Electronic Journal of Geometry 11, no. 1 (April 2018): 37-47.
EndNote Karakuş SÖ (April 1, 2018) Certain Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space. International Electronic Journal of Geometry 11 1 37–47.
IEEE S. Ö. Karakuş, “Certain Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space”, Int. Electron. J. Geom., vol. 11, no. 1, pp. 37–47, 2018.
ISNAD Karakuş, Sıddıka Özkaldı. “Certain Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space”. International Electronic Journal of Geometry 11/1 (April 2018), 37-47.
JAMA Karakuş SÖ. Certain Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space. Int. Electron. J. Geom. 2018;11:37–47.
MLA Karakuş, Sıddıka Özkaldı. “Certain Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space”. International Electronic Journal of Geometry, vol. 11, no. 1, 2018, pp. 37-47.
Vancouver Karakuş SÖ. Certain Constant Angle Surfaces Constructed on Curves in Minkowski 3-Space. Int. Electron. J. Geom. 2018;11(1):37-4.