Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, Cilt: 12 Sayı: 1, 39 - 44, 29.06.2020

Öz

Kaynakça

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

Chord Properties of Some Special Curves in Euclidean Space

Yıl 2020, Cilt: 12 Sayı: 1, 39 - 44, 29.06.2020

Öz

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.                                                                                                                                                                                                                     

Kaynakça

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

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Emre Öztürk 0000-0001-6638-3233

Yusuf Yaylı 0000-0003-4398-3855

Yayımlanma Tarihi 29 Haziran 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 12 Sayı: 1

Kaynak Göster

APA Öztürk, E., & Yaylı, Y. (2020). Chord Properties of Some Special Curves in Euclidean Space. Turkish Journal of Mathematics and Computer Science, 12(1), 39-44.
AMA Öztürk E, Yaylı Y. Chord Properties of Some Special Curves in Euclidean Space. TJMCS. Haziran 2020;12(1):39-44.
Chicago Öztürk, Emre, ve Yusuf Yaylı. “Chord Properties of Some Special Curves in Euclidean Space”. Turkish Journal of Mathematics and Computer Science 12, sy. 1 (Haziran 2020): 39-44.
EndNote Öztürk E, Yaylı Y (01 Haziran 2020) Chord Properties of Some Special Curves in Euclidean Space. Turkish Journal of Mathematics and Computer Science 12 1 39–44.
IEEE E. Öztürk ve Y. Yaylı, “Chord Properties of Some Special Curves in Euclidean Space”, TJMCS, c. 12, sy. 1, ss. 39–44, 2020.
ISNAD Öztürk, Emre - Yaylı, Yusuf. “Chord Properties of Some Special Curves in Euclidean Space”. Turkish Journal of Mathematics and Computer Science 12/1 (Haziran 2020), 39-44.
JAMA Öztürk E, Yaylı Y. Chord Properties of Some Special Curves in Euclidean Space. TJMCS. 2020;12:39–44.
MLA Öztürk, Emre ve Yusuf Yaylı. “Chord Properties of Some Special Curves in Euclidean Space”. Turkish Journal of Mathematics and Computer Science, c. 12, sy. 1, 2020, ss. 39-44.
Vancouver Öztürk E, Yaylı Y. Chord Properties of Some Special Curves in Euclidean Space. TJMCS. 2020;12(1):39-44.