Research Article
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E3 de Birinci Asli Yön Eğrisiyle Elde Edilen A- net Regle Yüzeyler

Year 2017, Volume: 21 Issue: 3, 372 - 377, 01.06.2017
https://doi.org/10.16984/saufenbilder.298987

Abstract

Bu makalede, 3- boyutlu Öklid uzayında, birinci asli yön eğrisiyle elde edilen A- net regle yüzeylerin yeni bir
parametrizasyonu verildi. Daha sonra, bu yüzeylerin ortalama eğriliği ve Gauss eğriliği elde edildi. Sonuç olarak, Anet yüzeylerin ortalama eğriliğe göre karakterizasyonu elde edildi.
  

References

  • [1] B. Uzunoğlu, . Gök and Y. Yaylı, A new approach on curves of constant precession, Applied Mathematic sand Computation, vol. 275, pp. 317-323, 2016.
  • [2] T. A. Ali, New special curves and their spherical indicatrices, arXiv:0909.2390v1 [math.DG] 13 Sep 2009.
  • [3] A.J. Hanson and H. Ma, Parallel transport approach to curve framing, Tech. Report 425, Computer Science Dept., Indiana Univ., 1995.
  • [4] T. Körpınar, E. Turhan, Parallel Surfaces to Normal Ruled Surfaces of General Helices in the Sol Space Bol. Soc. Paran. Mat., vol. 2, pp. 245-253, 2013.
  • [5] B. H. Lavenda, A New Perspective on Relativity: An Odyssey in Non-Euclidean Geometries, 2012.
  • [6] J. Galvez, Surfaces of constant curvature in 3-dimensional space forms, Matematica Contemporanea, vol. 37, pp. 01-42, 2009.
  • [7] S. Izumiya and N. Tkeuchi, New special curves and developable surfaces, Turk J. Math., vol. 28, pp. 153-163, 2004.
  • [8] Z. Soyuçok, The Problem of Non- Trivial Isometries of Surfaces Preserving Principal Curvatures, Journal of Geometry, vol. 52, pp. 173- 188, 1995.
  • [9] A. Bobenko, U. Either, Bonnet Surfaces and Painleve Equations, J. Reine Angew Math., vol. 499, pp. 47- 79, 1998.
  • [10] F. Kanbay, Bonnet Ruled Surfaces, Acta Mathematica Sinica, English Series, vol. 21, pp. 623- 630, 2005.

A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3

Year 2017, Volume: 21 Issue: 3, 372 - 377, 01.06.2017
https://doi.org/10.16984/saufenbilder.298987

Abstract

In this paper,
we give a new parametrization of A- net surface which generated by first
principle direction curve Euclidean 3- space . Then, we obtain mean curvature and Gaussian curvature of
this surface. Finally, we characterize A- net surface according to mean
curvature in


 

References

  • [1] B. Uzunoğlu, . Gök and Y. Yaylı, A new approach on curves of constant precession, Applied Mathematic sand Computation, vol. 275, pp. 317-323, 2016.
  • [2] T. A. Ali, New special curves and their spherical indicatrices, arXiv:0909.2390v1 [math.DG] 13 Sep 2009.
  • [3] A.J. Hanson and H. Ma, Parallel transport approach to curve framing, Tech. Report 425, Computer Science Dept., Indiana Univ., 1995.
  • [4] T. Körpınar, E. Turhan, Parallel Surfaces to Normal Ruled Surfaces of General Helices in the Sol Space Bol. Soc. Paran. Mat., vol. 2, pp. 245-253, 2013.
  • [5] B. H. Lavenda, A New Perspective on Relativity: An Odyssey in Non-Euclidean Geometries, 2012.
  • [6] J. Galvez, Surfaces of constant curvature in 3-dimensional space forms, Matematica Contemporanea, vol. 37, pp. 01-42, 2009.
  • [7] S. Izumiya and N. Tkeuchi, New special curves and developable surfaces, Turk J. Math., vol. 28, pp. 153-163, 2004.
  • [8] Z. Soyuçok, The Problem of Non- Trivial Isometries of Surfaces Preserving Principal Curvatures, Journal of Geometry, vol. 52, pp. 173- 188, 1995.
  • [9] A. Bobenko, U. Either, Bonnet Surfaces and Painleve Equations, J. Reine Angew Math., vol. 499, pp. 47- 79, 1998.
  • [10] F. Kanbay, Bonnet Ruled Surfaces, Acta Mathematica Sinica, English Series, vol. 21, pp. 623- 630, 2005.
There are 10 citations in total.

Details

Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Talat Körpınar

Gülden Altay

Publication Date June 1, 2017
Submission Date November 10, 2016
Acceptance Date January 9, 2017
Published in Issue Year 2017 Volume: 21 Issue: 3

Cite

APA Körpınar, T., & Altay, G. (2017). A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3. Sakarya University Journal of Science, 21(3), 372-377. https://doi.org/10.16984/saufenbilder.298987
AMA Körpınar T, Altay G. A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3. SAUJS. June 2017;21(3):372-377. doi:10.16984/saufenbilder.298987
Chicago Körpınar, Talat, and Gülden Altay. “A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3”. Sakarya University Journal of Science 21, no. 3 (June 2017): 372-77. https://doi.org/10.16984/saufenbilder.298987.
EndNote Körpınar T, Altay G (June 1, 2017) A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3. Sakarya University Journal of Science 21 3 372–377.
IEEE T. Körpınar and G. Altay, “A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3”, SAUJS, vol. 21, no. 3, pp. 372–377, 2017, doi: 10.16984/saufenbilder.298987.
ISNAD Körpınar, Talat - Altay, Gülden. “A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3”. Sakarya University Journal of Science 21/3 (June 2017), 372-377. https://doi.org/10.16984/saufenbilder.298987.
JAMA Körpınar T, Altay G. A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3. SAUJS. 2017;21:372–377.
MLA Körpınar, Talat and Gülden Altay. “A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3”. Sakarya University Journal of Science, vol. 21, no. 3, 2017, pp. 372-7, doi:10.16984/saufenbilder.298987.
Vancouver Körpınar T, Altay G. A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3. SAUJS. 2017;21(3):372-7.