Research Article

Application of Matrix Methods On W-Curves

Volume: 13 Number: 1 January 30, 2020
EN

Application of Matrix Methods On W-Curves

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

References

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

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Publication Date

January 30, 2020

Submission Date

May 6, 2018

Acceptance Date

-

Published in Issue

Year 2020 Volume: 13 Number: 1

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