Araştırma Makalesi
BibTex RIS Kaynak Göster

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

Yıl 2017, , 372 - 377, 01.06.2017
https://doi.org/10.16984/saufenbilder.298987

Öz

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.
  

Kaynakça

  • [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

Yıl 2017, , 372 - 377, 01.06.2017
https://doi.org/10.16984/saufenbilder.298987

Öz

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


 

Kaynakça

  • [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.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Talat Körpınar

Gülden Altay

Yayımlanma Tarihi 1 Haziran 2017
Gönderilme Tarihi 10 Kasım 2016
Kabul Tarihi 9 Ocak 2017
Yayımlandığı Sayı Yıl 2017

Kaynak Göster

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. Haziran 2017;21(3):372-377. doi:10.16984/saufenbilder.298987
Chicago Körpınar, Talat, ve Gülden Altay. “A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3”. Sakarya University Journal of Science 21, sy. 3 (Haziran 2017): 372-77. https://doi.org/10.16984/saufenbilder.298987.
EndNote Körpınar T, Altay G (01 Haziran 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 ve G. Altay, “A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3”, SAUJS, c. 21, sy. 3, ss. 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 (Haziran 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 ve Gülden Altay. “A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3”. Sakarya University Journal of Science, c. 21, sy. 3, 2017, ss. 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.

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