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Year 2016, Volume: 4 Issue: 2, 131 - 138, 30.10.2016

Süleyman Şenyurt Yasin Altun Ceyda Cevahir

https://doi.org/10.36753/mathenot.421466
Cited By: 3

Abstract

References

  • [1] Ali A.T., Special Smarandache Curves in the Euclidian Space, International Journal of Mathematical Combinatorics, 2(2010), 30-36.
  • [2] Beş¸s Ö. and Yüce S., Special Smarandache Curves According to Darboux Frame in Euclidean 3-Space, Romanian Journal of Mathematics and Computer sciencel 3(2013), no.1, 48-59.
  • [3] Bilici M. and Çalıçkan, M., Some Characterizations For The Pair of Involute-evolute curves in Euclidian E^3, Bulletin of Pure and Applied Sciences, 21E(2002) no.2, 289-294.
  • [4] Çalıçkan A. and Şenyurt, S., Smarandache Curves In Terms of Sabban Frame of Spherical Indicatrix Curves, Gen. Math. Notes, 31(2015), no.2, 1-15.
  • [5] Çetin M., Tuncer Y. and Karacan M.K., Smarandache Curves According to Bishop Frame in Euclidean 3-Space, Gen. Math. Notes, 20(2014), 50-66.
  • [6] Fenchel, W.,On The Differential Geometry of Closed Space Curves, Bulletin of the American Mathematical Society, 57(1951), 44-54.
  • [7] Hacısalihoğlu H.H., Differantial Geometry(in Turkish), Academic Press Inc. Ankara, 1994.
  • [8] Şenyurt S. and Sivas S., An Application of Smarandache Curve, University of Ordu Journal of Science and Technology, 3(2013), no.1, 46-60.
  • [9] Şenyurt S, Altun Y. and Cevahir C., Smarandache Curves According to Sabban Frame of Fixed Pole Curve Belonging to the Bertrand Curves Pair, AIP Conf. Proc. 1726, doi:10.1063/1.4945871, 2016.
  • [10] Turgut M. and Yılmaz S., Smarandache Curves in Minkowski space-time, International Journal of Mathematical Combinatorics, 3(2008), 51-55.
  • [11] Taşköprü K. and Tosun M., Smarandache Curves on S^2, Boletim da Sociedade Paranaense de Matematica 3 Srie. 32(2014), no.1, 51-59.

On The Darboux Vector Belonging To Involute Curve A Different View

Year 2016, Volume: 4 Issue: 2, 131 - 138, 30.10.2016

Süleyman Şenyurt Yasin Altun Ceyda Cevahir

https://doi.org/10.36753/mathenot.421466
Cited By: 3

Abstract

In this paper, we investigated special Smarandache curves in terms of Sabban frame drawn on the surface
of the sphere by the unit Darboux vector of involute curve. We created Sabban frame belonging to this
curve. It was explained Smarandache curves position vector is composed by Sabban vectors belonging
to this curve. Then, we calculated geodesic curvatures of this Smarandache curves. Found results were
expressed depending on the base curve. We also gave example belonging to the results found.

Keywords

involute curve Darboux vector Smarandache curves Sabban frame geodesic curvature

References

  • [1] Ali A.T., Special Smarandache Curves in the Euclidian Space, International Journal of Mathematical Combinatorics, 2(2010), 30-36.
  • [2] Beş¸s Ö. and Yüce S., Special Smarandache Curves According to Darboux Frame in Euclidean 3-Space, Romanian Journal of Mathematics and Computer sciencel 3(2013), no.1, 48-59.
  • [3] Bilici M. and Çalıçkan, M., Some Characterizations For The Pair of Involute-evolute curves in Euclidian E^3, Bulletin of Pure and Applied Sciences, 21E(2002) no.2, 289-294.
  • [4] Çalıçkan A. and Şenyurt, S., Smarandache Curves In Terms of Sabban Frame of Spherical Indicatrix Curves, Gen. Math. Notes, 31(2015), no.2, 1-15.
  • [5] Çetin M., Tuncer Y. and Karacan M.K., Smarandache Curves According to Bishop Frame in Euclidean 3-Space, Gen. Math. Notes, 20(2014), 50-66.
  • [6] Fenchel, W.,On The Differential Geometry of Closed Space Curves, Bulletin of the American Mathematical Society, 57(1951), 44-54.
  • [7] Hacısalihoğlu H.H., Differantial Geometry(in Turkish), Academic Press Inc. Ankara, 1994.
  • [8] Şenyurt S. and Sivas S., An Application of Smarandache Curve, University of Ordu Journal of Science and Technology, 3(2013), no.1, 46-60.
  • [9] Şenyurt S, Altun Y. and Cevahir C., Smarandache Curves According to Sabban Frame of Fixed Pole Curve Belonging to the Bertrand Curves Pair, AIP Conf. Proc. 1726, doi:10.1063/1.4945871, 2016.
  • [10] Turgut M. and Yılmaz S., Smarandache Curves in Minkowski space-time, International Journal of Mathematical Combinatorics, 3(2008), 51-55.
  • [11] Taşköprü K. and Tosun M., Smarandache Curves on S^2, Boletim da Sociedade Paranaense de Matematica 3 Srie. 32(2014), no.1, 51-59.
There are 11 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Süleyman Şenyurt

Yasin Altun

Ceyda Cevahir

Publication Date October 30, 2016
Submission Date June 11, 2016
Published in Issue Year 2016 Volume: 4 Issue: 2

Cite

APA Şenyurt, S., Altun, Y., & Cevahir, C. (2016). On The Darboux Vector Belonging To Involute Curve A Different View. Mathematical Sciences and Applications E-Notes, 4(2), 131-138. https://doi.org/10.36753/mathenot.421466
AMA Şenyurt S, Altun Y, Cevahir C. On The Darboux Vector Belonging To Involute Curve A Different View. Math. Sci. Appl. E-Notes. October 2016;4(2):131-138. doi:10.36753/mathenot.421466
Chicago Şenyurt, Süleyman, Yasin Altun, and Ceyda Cevahir. “On The Darboux Vector Belonging To Involute Curve A Different View”. Mathematical Sciences and Applications E-Notes 4, no. 2 (October 2016): 131-38. https://doi.org/10.36753/mathenot.421466.
EndNote Şenyurt S, Altun Y, Cevahir C (October 1, 2016) On The Darboux Vector Belonging To Involute Curve A Different View. Mathematical Sciences and Applications E-Notes 4 2 131–138.
IEEE S. Şenyurt, Y. Altun, and C. Cevahir, “On The Darboux Vector Belonging To Involute Curve A Different View”, Math. Sci. Appl. E-Notes, vol. 4, no. 2, pp. 131–138, 2016, doi: 10.36753/mathenot.421466.
ISNAD Şenyurt, Süleyman et al. “On The Darboux Vector Belonging To Involute Curve A Different View”. Mathematical Sciences and Applications E-Notes 4/2 (October 2016), 131-138. https://doi.org/10.36753/mathenot.421466.
JAMA Şenyurt S, Altun Y, Cevahir C. On The Darboux Vector Belonging To Involute Curve A Different View. Math. Sci. Appl. E-Notes. 2016;4:131–138.
MLA Şenyurt, Süleyman et al. “On The Darboux Vector Belonging To Involute Curve A Different View”. Mathematical Sciences and Applications E-Notes, vol. 4, no. 2, 2016, pp. 131-8, doi:10.36753/mathenot.421466.
Vancouver Şenyurt S, Altun Y, Cevahir C. On The Darboux Vector Belonging To Involute Curve A Different View. Math. Sci. Appl. E-Notes. 2016;4(2):131-8.

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