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SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3

Year 2016, Volume: 4 Issue: 1, 261 - 274, 01.04.2016

Semra Saracoglu Çelik Yusuf Yaylı Erhan Güler

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.

Keywords

Curvature Cornu spiral Bertrand curve pair

References

  • [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.

Year 2016, Volume: 4 Issue: 1, 261 - 274, 01.04.2016

Semra Saracoglu Çelik Yusuf Yaylı Erhan Güler

Abstract

References

  • [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.
There are 7 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Semra Saracoglu Çelik This is me

Yusuf Yaylı

Erhan Güler

Publication Date April 1, 2016
Submission Date July 10, 2014
Published in Issue Year 2016 Volume: 4 Issue: 1

Cite

APA Çelik, S. S., Yaylı, Y., & Güler, E. (2016). SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3. Konuralp Journal of Mathematics, 4(1), 261-274.
AMA Çelik SS, Yaylı Y, Güler E. SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3. Konuralp J. Math. April 2016;4(1):261-274.
Chicago Çelik, Semra Saracoglu, Yusuf Yaylı, and Erhan Güler. “SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3”. Konuralp Journal of Mathematics 4, no. 1 (April 2016): 261-74.
EndNote Çelik SS, Yaylı Y, Güler E (April 1, 2016) SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3. Konuralp Journal of Mathematics 4 1 261–274.
IEEE S. S. Çelik, Y. Yaylı, and E. Güler, “SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3”, Konuralp J. Math., vol. 4, no. 1, pp. 261–274, 2016.
ISNAD Çelik, Semra Saracoglu et al. “SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3”. Konuralp Journal of Mathematics 4/1 (April 2016), 261-274.
JAMA Çelik SS, Yaylı Y, Güler E. SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3. Konuralp J. Math. 2016;4:261–274.
MLA Çelik, Semra Saracoglu et al. “SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3”. Konuralp Journal of Mathematics, vol. 4, no. 1, 2016, pp. 261-74.
Vancouver Çelik SS, Yaylı Y, Güler E. SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3. Konuralp J. Math. 2016;4(1):261-74.
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