Research Article
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Year 2020, , 9 - 16, 30.01.2020

Emre Öztürk

https://doi.org/10.36890/iejg.690484

Abstract

References

  • [1] Chen, B. Y., Kim, D. S., Kim, Y. H.: New Characterizations of W-Curves. Publ. Math. Debrecen. 69 (4), 457-472 (2006).
  • [2] Kim, D. S., Kim, Y. H.: New Characterizations of Spheres, Cylinders and W-Curves. Linear Algebra and Its Applications. 432 (11), 3002-3006 (2010).
  • [3] Kühnel, W.: Differential Geometry Curves-Surfaces-Manifolds. American Mathematical Society. USA (2006).
  • [4] O’Neill, B.: Semi-Riemann Geometry with Applications to Relativity. Academic Press. Inc. London (1983).
  • [5] Öztürk, E., Yaylı, Y.: W-Curves In Lorentz-Minkowski Space. Mathematical Sciences and Applications E-Notes. 5 (2), 76-88 (2017).
  • [6] Walrave, J.: Curves and Surfaces in Minkowski Space. Ph.D. thesis. K. U. Leuven Fac. of Science, Leuven (1995).

Application of Matrix Methods On W-Curves

Year 2020, , 9 - 16, 30.01.2020

Emre Öztürk

https://doi.org/10.36890/iejg.690484

Abstract

In the present study, we find the parametric equations of non-null W-curves
through the semi skew-symmetric matrix in three dimensional
Lorentz-Minkowski space. Our technic provides more simple but efficient
method for find the parametric equations of these curves in comparison to
previous studies in mentioned space. Finally, we give some pictures of
W-curves in polynomial form.

Keywords

W-curve semi skew-symmetric matrix Minkowski space

References

  • [1] Chen, B. Y., Kim, D. S., Kim, Y. H.: New Characterizations of W-Curves. Publ. Math. Debrecen. 69 (4), 457-472 (2006).
  • [2] Kim, D. S., Kim, Y. H.: New Characterizations of Spheres, Cylinders and W-Curves. Linear Algebra and Its Applications. 432 (11), 3002-3006 (2010).
  • [3] Kühnel, W.: Differential Geometry Curves-Surfaces-Manifolds. American Mathematical Society. USA (2006).
  • [4] O’Neill, B.: Semi-Riemann Geometry with Applications to Relativity. Academic Press. Inc. London (1983).
  • [5] Öztürk, E., Yaylı, Y.: W-Curves In Lorentz-Minkowski Space. Mathematical Sciences and Applications E-Notes. 5 (2), 76-88 (2017).
  • [6] Walrave, J.: Curves and Surfaces in Minkowski Space. Ph.D. thesis. K. U. Leuven Fac. of Science, Leuven (1995).
There are 6 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Emre Öztürk

Publication Date January 30, 2020
Published in Issue Year 2020

Cite

APA Öztürk, E. (2020). Application of Matrix Methods On W-Curves. International Electronic Journal of Geometry, 13(1), 9-16. https://doi.org/10.36890/iejg.690484
AMA Öztürk E. Application of Matrix Methods On W-Curves. Int. Electron. J. Geom. January 2020;13(1):9-16. doi:10.36890/iejg.690484
Chicago Öztürk, Emre. “Application of Matrix Methods On W-Curves”. International Electronic Journal of Geometry 13, no. 1 (January 2020): 9-16. https://doi.org/10.36890/iejg.690484.
EndNote Öztürk E (January 1, 2020) Application of Matrix Methods On W-Curves. International Electronic Journal of Geometry 13 1 9–16.
IEEE E. Öztürk, “Application of Matrix Methods On W-Curves”, Int. Electron. J. Geom., vol. 13, no. 1, pp. 9–16, 2020, doi: 10.36890/iejg.690484.
ISNAD Öztürk, Emre. “Application of Matrix Methods On W-Curves”. International Electronic Journal of Geometry 13/1 (January 2020), 9-16. https://doi.org/10.36890/iejg.690484.
JAMA Öztürk E. Application of Matrix Methods On W-Curves. Int. Electron. J. Geom. 2020;13:9–16.
MLA Öztürk, Emre. “Application of Matrix Methods On W-Curves”. International Electronic Journal of Geometry, vol. 13, no. 1, 2020, pp. 9-16, doi:10.36890/iejg.690484.
Vancouver Öztürk E. Application of Matrix Methods On W-Curves. Int. Electron. J. Geom. 2020;13(1):9-16.