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Year 2017, Volume: 5 Issue: 2 , 89 - 97 , 30.10.2017
https://doi.org/10.36753/mathenot.421741
https://izlik.org/JA49TB84MC

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, Volume: 5 Issue: 2 , 89 - 97 , 30.10.2017
https://doi.org/10.36753/mathenot.421741
https://izlik.org/JA49TB84MC

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 Research Article
Authors

Mahmut Mak This is me

Hasan Altınbaş This is me

Submission Date April 3, 2017
Publication Date October 30, 2017
DOI https://doi.org/10.36753/mathenot.421741
IZ https://izlik.org/JA49TB84MC
Published in Issue Year 2017 Volume: 5 Issue: 2

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 1.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. doi:10.36753/mathenot.421741
Chicago Mak, Mahmut, and Hasan Altınbaş. 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.
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 [1]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, Oct. 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 1, 2017): 89-97. https://doi.org/10.36753/mathenot.421741.
JAMA 1.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, Oct. 2017, pp. 89-97, doi:10.36753/mathenot.421741.
Vancouver 1.Mahmut Mak, Hasan Altınbaş. Some Special Associated Curves of Non-degenerate Curve in Anti de Sitter 3-Space. Math. Sci. Appl. E-Notes. 2017 Oct. 1;5(2):89-97. doi:10.36753/mathenot.421741

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