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Dergiler / Konuralp Journal of Mathematics / 2016 / Cilt: 4 - Sayı: 1

SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3

Semra Saracoglu ÇELİK
Yusuf YAYLI
Erhan GÜLER
Sayfa
261–274
Yayın Tarihi
2016-04-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The approach we used in this paper is useful in understanding the role of Euler spirals in E3 1 in di erential geometry.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, some characterizations of Euler spirals in E3 1 have been presented by using their main property that their curvatures are linear.
📊
Temel Bulgular & Veri:Moreover, discussing some properties of Bertrand curves and helices, the relationship between these special curves in E3 1 have been investigated with di erent theorems and examples.
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Sonuç & Katkı:The approach we used in this paper is useful in understanding the role of Euler spirals in E3 1 in di erential geometry.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Curvature · Cornu spiral · Bertrand curve pair

Abstract

In this study, some characterizations of Euler spirals in E3 1 have been presented by using their main property that their curvatures are linear. Moreover, discussing some properties of Bertrand curves and helices, the relationship between these special curves in E3 1 have been investigated with di erent theorems and examples. The approach we used in this paper is useful in understanding the role of Euler spirals in E3 1 in di erential geometry.

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Bu Makaleye Atıf Yap

ÇELİK, S. S., YAYLI, Y., GÜLER, E. (2016). SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3. Konuralp Journal of Mathematics, Cilt: 4 - Sayı: 1, 261–274. https://ajindex.com/articles/786709

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Kaynakça (6)

  1. Harary, G., Tal, A., 3D Euler Spirals for 3D Curve Completion, Symposium on Computational Geometry 2010: 107-108
  2. Harary, G., Tal, A., The Natural 3D Spiral, Computer Graphics Forum, Volume 30(2011), Number 2: 237-246
  3. Kalkan, B., Lopez, R., Spacelike surfaces in Minkowski space satisfying a linear relation between their principal curvatures, Di erential Geometry-Dynamical Systems, Vol.13, 2011, pp. 107-116
  4. K. Ilarslan, E. Nesovic, and M. Petrovic-Torgasev, Some Characterizations of Rectifying Curves in the Minkowski 3-space, Novi Sad J. Math. 33 (2003), no. 2, 23f32g
  5. Lopez, R., Di erential Geometry of Curves and Surfaces in Lorentz-Minkowski Space. [arXiv:0810.3351v1] math.DG, 2008
  6. Saracoglu Celik, S., Yayli, Y., Guler, E., On Generalized Euler Spirals in E3, International Journal of Geometry (Accepted). [7] http://www.cs.iastate.edu/~cs577/handouts/curvature.pdf.