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Dergiler / International Electronic Journal of Geometry / 2020 / Cilt: 13 - Sayı: 1

Application of Matrix Methods On W-Curves

Emre Öztürk
Sayfa
9–16
Yayın Tarihi
2022-10-18
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we give some pictures of W-curves in polynomial form.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri:Our technic provides more simple but efficient method for find the parametric equations of these curves in comparison to previous studies in mentioned space.
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Sonuç & Katkı:Finally, we give some pictures of W-curves in polynomial form.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:W-curve · semi skew-symmetric matrix · Minkowski space

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.

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Bu Makaleye Atıf Yap

Öztürk, E. (2022). Application of Matrix Methods On W-Curves. International Electronic Journal of Geometry, Cilt: 13 - Sayı: 1, 9–16. https://ajindex.com/articles/539598

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Kaynakça (6)

  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).