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Year 2017, , 89 - 97, 30.10.2017
https://doi.org/10.36753/mathenot.421741

Abstract

References

  • [1] Barros, M., Ferrández, A., Lucas, P., Meroño, M. A., General helices in the three-dimensional Lorentzian space forms. Rocky Mountain J. Math. 31 (2001), no. 2, 373-388.
  • [2] Chen, L., Izumiya, S., Pei, D., Saji, K., Anti de Sitter horospherical flat timelike surfaces. Sci. China Math. 57 (2014), no. 9, 1841-1866.
  • [3] Choi, J. H., Kim, Y. H., Associated curves of a Frenet curve and their applications. Appl. Math. Comput. 218 (2012), no. 18, 9116-9124.
  • [4] Choi, J. H., Kim, Y. H., Ali, A. T., Some associated curves of Frenet non-lightlike curves in E_^3. J. Math. Anal. Appl. 394 (2012), no. 2, 712-723.
  • [5] Karlığa, B., On the generalized stereographic projection. Beiträge Algebra Geom. 37 (1996), no. 2, 329-336.
  • [6] Kızıltuğ, S., Önder, M., Associated curves of Frenet curves in three dimensional compact Lie group. Miskolc Math. Notes 16 (2015), no. 2, 953-964.
  • [7] Liu, H., Curves in Three Dimensional Riemannian Space Forms. Results in Mathematics 66 (2014), no. 3, 469-480.
  • [8] Macit, N., Düldül, M., Some new associated curves of a Frenet curve in E^3 and E^4. Turkish J. Math. 38 (2014), no. 6, 1023-1037.
  • [9] Mak, M., The Generalized Stereographic Projection and Inversion. Master’s thesis, Gazi University Institute of Science and Technology, 2008.
  • [10] O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity. Academic Press, New York, 1983.

Some Special Associated Curves of Non-degenerate Curve in Anti de Sitter 3-Space

Year 2017, , 89 - 97, 30.10.2017
https://doi.org/10.36753/mathenot.421741

Abstract

Frenet curve, associated curve, direction curve, donor curve, helix,

References

  • [1] Barros, M., Ferrández, A., Lucas, P., Meroño, M. A., General helices in the three-dimensional Lorentzian space forms. Rocky Mountain J. Math. 31 (2001), no. 2, 373-388.
  • [2] Chen, L., Izumiya, S., Pei, D., Saji, K., Anti de Sitter horospherical flat timelike surfaces. Sci. China Math. 57 (2014), no. 9, 1841-1866.
  • [3] Choi, J. H., Kim, Y. H., Associated curves of a Frenet curve and their applications. Appl. Math. Comput. 218 (2012), no. 18, 9116-9124.
  • [4] Choi, J. H., Kim, Y. H., Ali, A. T., Some associated curves of Frenet non-lightlike curves in E_^3. J. Math. Anal. Appl. 394 (2012), no. 2, 712-723.
  • [5] Karlığa, B., On the generalized stereographic projection. Beiträge Algebra Geom. 37 (1996), no. 2, 329-336.
  • [6] Kızıltuğ, S., Önder, M., Associated curves of Frenet curves in three dimensional compact Lie group. Miskolc Math. Notes 16 (2015), no. 2, 953-964.
  • [7] Liu, H., Curves in Three Dimensional Riemannian Space Forms. Results in Mathematics 66 (2014), no. 3, 469-480.
  • [8] Macit, N., Düldül, M., Some new associated curves of a Frenet curve in E^3 and E^4. Turkish J. Math. 38 (2014), no. 6, 1023-1037.
  • [9] Mak, M., The Generalized Stereographic Projection and Inversion. Master’s thesis, Gazi University Institute of Science and Technology, 2008.
  • [10] O’Neill, B., Semi-Riemannian Geometry with Applications to Relativity. Academic Press, New York, 1983.
There are 10 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Mahmut Mak This is me

Hasan Altınbaş This is me

Publication Date October 30, 2017
Submission Date April 3, 2017
Published in Issue Year 2017

Cite

APA Mak, M., & Altınbaş, H. (2017). Some Special Associated Curves of Non-degenerate Curve in Anti de Sitter 3-Space. Mathematical Sciences and Applications E-Notes, 5(2), 89-97. https://doi.org/10.36753/mathenot.421741
AMA Mak M, Altınbaş H. Some Special Associated Curves of Non-degenerate Curve in Anti de Sitter 3-Space. Math. Sci. Appl. E-Notes. October 2017;5(2):89-97. doi:10.36753/mathenot.421741
Chicago Mak, Mahmut, and Hasan Altınbaş. “Some Special Associated Curves of Non-Degenerate Curve in Anti De Sitter 3-Space”. Mathematical Sciences and Applications E-Notes 5, no. 2 (October 2017): 89-97. https://doi.org/10.36753/mathenot.421741.
EndNote Mak M, Altınbaş H (October 1, 2017) Some Special Associated Curves of Non-degenerate Curve in Anti de Sitter 3-Space. Mathematical Sciences and Applications E-Notes 5 2 89–97.
IEEE M. Mak and H. Altınbaş, “Some Special Associated Curves of Non-degenerate Curve in Anti de Sitter 3-Space”, Math. Sci. Appl. E-Notes, vol. 5, no. 2, pp. 89–97, 2017, doi: 10.36753/mathenot.421741.
ISNAD Mak, Mahmut - Altınbaş, Hasan. “Some Special Associated Curves of Non-Degenerate Curve in Anti De Sitter 3-Space”. Mathematical Sciences and Applications E-Notes 5/2 (October 2017), 89-97. https://doi.org/10.36753/mathenot.421741.
JAMA Mak M, Altınbaş H. Some Special Associated Curves of Non-degenerate Curve in Anti de Sitter 3-Space. Math. Sci. Appl. E-Notes. 2017;5:89–97.
MLA Mak, Mahmut and Hasan Altınbaş. “Some Special Associated Curves of Non-Degenerate Curve in Anti De Sitter 3-Space”. Mathematical Sciences and Applications E-Notes, vol. 5, no. 2, 2017, pp. 89-97, doi:10.36753/mathenot.421741.
Vancouver Mak M, Altınbaş H. Some Special Associated Curves of Non-degenerate Curve in Anti de Sitter 3-Space. Math. Sci. Appl. E-Notes. 2017;5(2):89-97.

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