Application of Matrix Methods On W-Curves

Yıl 2020, Cilt: 13 Sayı: 1, 9 - 16, 30.01.2020

Emre Öztürk

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

Öz

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.

Anahtar Kelimeler

W-curve, semi skew-symmetric matrix, Minkowski space

Kaynakça

• [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).