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Üç Boyutlu Finsler Manifoldu F3’de Biharmonik Helisler

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

Abstract

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

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

Abstract

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

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.