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Dergiler / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 12 Issue: 1

Chord Properties of Some Special Curves in Euclidean Space

Emre Öztürk0000-0001-6638-3233
Yusuf Yaylı(ANKARA ÜNİVERSİTESİ)0000-0003-4398-3855
Sayfa
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Yayın Tarihi
2020-06-29
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Moreover, we show that these curves are the geodesics of the isoparametric surfaces such as spheres, right circular cylinders and spherical cylinders.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we define some special curves through the chord that combines two different points of the curve on it, and we examine relations of these curves each other.
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Temel Bulgular & Veri:Especially, these curves have been characterized by their unit tangent vector field itself with symmetric and skew symmetric matrix.
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Sonuç & Katkı:Moreover, we show that these curves are the geodesics of the isoparametric surfaces such as spheres, right circular cylinders and spherical cylinders.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Curve with constant curvature · isoparametric surface

Abstract

In this paper, we define some special curves through the chord that combines two different points of the curve on it, and we examine relations of these curves each other. Especially, these curves have been characterized by their unit tangent vector field itself with symmetric and skew symmetric matrix. Moreover, we show that these curves are the geodesics of the isoparametric surfaces such as spheres, right circular cylinders and spherical cylinders.

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Bu Makaleye Atıf Yap

Öztürk, E., Yaylı, Y. (2020). Chord Properties of Some Special Curves in Euclidean Space. Turkish Journal of Mathematics and Computer Science, Volume: 12 Issue: 1. https://ajindex.com/articles/1324851

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Kaynakça (9)

  1. Aminov, Y., Differential Geometry and Topology of Curves, Gordon and Breach Science Publishers imprint, London, 2003.
  2. Chen, B.Y., Kim, D.S., Kim, Y.H., New characterizations of W-Curves, Publ. Math. Debrecen 69 / 4(2006), 457-472.
  3. Kim, D.S., Kim, Y.H.,New characterizations of spheres, cylinders and W-curves, Linear Algebra and Its Applications 432 (2010), 3002-3006.
  4. Kim, Y.H., Lee, K.E., Surfaces of Euclidean 4-Space Whose Geodesics are W-Curves, Nihonkai Math. J., 4(1993), 221-232.
  5. Munteanu, M.I., Nistor, A.I., The classification of Killing magnetic curves in S2× R, Journal of Geometry and Physics 62(2012), 170-182.
  6. Öztürk, E., Yaylı, Y., W-Curves In Lorentz-Minkowski Space, Mathematical Sciences and Applications E-Notes, 5 / 2(2017), 76–88.
  7. Öztürk, E., Yaylı, Y., Elementary Approaches on De Sitter Space, Mathematical Sciences and Applications E-Notes, 7 / 2 (2019), 183-190.
  8. Walrave, J., Curves and Surfaces in Minkowski Space, Ph.D. Dissertation, K.U.Leuven, 1995.
  9. Munteanu, M.I., Nistor, A.I., The classification of Killing magnetic curves in S2× R, Journal of Geometry and Physics 62(2012), 170-182.