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Üç Boyutlu Finsler Manifoldu F3’de Biharmonik Helisler

Year 2017, Volume: 7 Issue: 1, 1 - 4, 01.01.2017

Munevver Yıldırım Yılmaz

Abstract

Bu çalışmada üç boyutlu Finsler manifoldu üzerinde çalışılmıştır ve bu tip uzaylar için bazı helis karakterizasyonları elde edilmiştir

Keywords

Biharmonik helisler Finsler manifoldu Ortalama eğrilikMSC 2010.53B40 58B20

References

  • Bejancu, A., Farran HR. 2000. Geometry of Pseudo-Finsler Submanifolds, Kluwer Academic Publishers,Dordrecht, Boston, London, 244 pp .
  • Brandt, E.H. 2005. Finslerian quantum field theory. Nonlin. Anal., 63 (5-7): 119-130.
  • Keles, S., Yüksel Perktaş ¸S., Kılıc, E. 2010. Biharmonic Curves in Lorentzian Para-Sasakian Manifolds. Bull. Malays. Math. Sci. Soc., 33(2): 325–344.
  • Solange, F.R., Portugal, R. 2001. Finsler: A Computer algebra package for Finsler geometries. Nonlin Anal., 47(9): 6121- 6134.
  • Voicu, N. 2014. Biharmonic Curves In Finsler Spaces. J. Korean Math. Soc., 51(6): 1105–1122.
  • Yaz, N., Ekmekçi, N. 2003. Biharmonic General Helices and Submanifolds In An Indefinite-Riemannian Manifold. Tensor, N.S., 64: 282-289.
  • Yıldırım Yılmaz, M., Bektaş, M. 2011. Bertrand Curves on Finsler Manifolds. Int. J. Phys. Math. Sci., 5-10.
  • Yıldırım Yılmaz, M., Bektaş, M. 2009. Helices of 3- dimensional Finsler Manifolds. J.Adv.Math.Studies, 2(1): 99-104.
  • Yüksel Perktaş, S., Kılıc, E. 2012. On Biharmonic Curves in 3-dimensional Heisenberg Group. Adıyaman Üniv. Fen Bil. Der., 2 (2): 58-74.

Biharmonic General Helices in 3-Dimensional Finsler Manifold

Year 2017, Volume: 7 Issue: 1, 1 - 4, 01.01.2017

Munevver Yıldırım Yılmaz

Abstract

In the present paper, we study on the three dimensional Finsler manifold and obtain some characterizations for helices of this space.

Keywords

Finsler manifold mean curvature biharmonic helices.

References

  • Bejancu, A., Farran HR. 2000. Geometry of Pseudo-Finsler Submanifolds, Kluwer Academic Publishers,Dordrecht, Boston, London, 244 pp .
  • Brandt, E.H. 2005. Finslerian quantum field theory. Nonlin. Anal., 63 (5-7): 119-130.
  • Keles, S., Yüksel Perktaş ¸S., Kılıc, E. 2010. Biharmonic Curves in Lorentzian Para-Sasakian Manifolds. Bull. Malays. Math. Sci. Soc., 33(2): 325–344.
  • Solange, F.R., Portugal, R. 2001. Finsler: A Computer algebra package for Finsler geometries. Nonlin Anal., 47(9): 6121- 6134.
  • Voicu, N. 2014. Biharmonic Curves In Finsler Spaces. J. Korean Math. Soc., 51(6): 1105–1122.
  • Yaz, N., Ekmekçi, N. 2003. Biharmonic General Helices and Submanifolds In An Indefinite-Riemannian Manifold. Tensor, N.S., 64: 282-289.
  • Yıldırım Yılmaz, M., Bektaş, M. 2011. Bertrand Curves on Finsler Manifolds. Int. J. Phys. Math. Sci., 5-10.
  • Yıldırım Yılmaz, M., Bektaş, M. 2009. Helices of 3- dimensional Finsler Manifolds. J.Adv.Math.Studies, 2(1): 99-104.
  • Yüksel Perktaş, S., Kılıc, E. 2012. On Biharmonic Curves in 3-dimensional Heisenberg Group. Adıyaman Üniv. Fen Bil. Der., 2 (2): 58-74.
There are 9 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Munevver Yıldırım Yılmaz This is me

Publication Date January 1, 2017
Published in Issue Year 2017 Volume: 7 Issue: 1

Cite

APA Yıldırım Yılmaz, M. (2017). Biharmonic General Helices in 3-Dimensional Finsler Manifold. Karaelmas Fen Ve Mühendislik Dergisi, 7(1), 1-4.
AMA Yıldırım Yılmaz M. Biharmonic General Helices in 3-Dimensional Finsler Manifold. Karaelmas Fen ve Mühendislik Dergisi. January 2017;7(1):1-4.
Chicago Yıldırım Yılmaz, Munevver. “Biharmonic General Helices in 3-Dimensional Finsler Manifold”. Karaelmas Fen Ve Mühendislik Dergisi 7, no. 1 (January 2017): 1-4.
EndNote Yıldırım Yılmaz M (January 1, 2017) Biharmonic General Helices in 3-Dimensional Finsler Manifold. Karaelmas Fen ve Mühendislik Dergisi 7 1 1–4.
IEEE M. Yıldırım Yılmaz, “Biharmonic General Helices in 3-Dimensional Finsler Manifold”, Karaelmas Fen ve Mühendislik Dergisi, vol. 7, no. 1, pp. 1–4, 2017.
ISNAD Yıldırım Yılmaz, Munevver. “Biharmonic General Helices in 3-Dimensional Finsler Manifold”. Karaelmas Fen ve Mühendislik Dergisi 7/1 (January 2017), 1-4.
JAMA Yıldırım Yılmaz M. Biharmonic General Helices in 3-Dimensional Finsler Manifold. Karaelmas Fen ve Mühendislik Dergisi. 2017;7:1–4.
MLA Yıldırım Yılmaz, Munevver. “Biharmonic General Helices in 3-Dimensional Finsler Manifold”. Karaelmas Fen Ve Mühendislik Dergisi, vol. 7, no. 1, 2017, pp. 1-4.
Vancouver Yıldırım Yılmaz M. Biharmonic General Helices in 3-Dimensional Finsler Manifold. Karaelmas Fen ve Mühendislik Dergisi. 2017;7(1):1-4.