Conference Paper

Spherical Curves in Finsler 3-Space

Volume: 2 Number: 2 November 25, 2019
EN

Spherical Curves in Finsler 3-Space

Abstract

In this work, we investigate the general characteristics of the Finslerian spherical curves in Finsler 3-space. We obtain some characterizations for these curves. Moreover, we give various examples and visualized their images on Randers sphere.

Keywords

References

  1. [1] H. Akbar-Zadeh, Initiation to global Finslerian geometry, North-Holland Math Library, 2006.
  2. [2] I. Arslan Güven and S. Kayan Nurkan, The relation among Bishop spherical indicatrix curves, International Mathematical Forum 6(25) (2011), 1209-1215.
  3. [3] A. Asanjarani, B. Bidabad, Classification of complete Finsler manifolds through a second order differential equation, Differential Geom Appl. 26 (2008), 434-444.
  4. [4] A. Bejancu, H. R. Farran, Geometry of pseudo-Finsler submanifolds, Kluwer Academic Publishers, 2000.
  5. [5] B. Bidabad, Z. Shen, Circle-preserving transformations on Finsler spaces, Publication Mathematicae, in press.
  6. [6] Ç. Camcı, Yaylı, Y., Hacısa˘gliho˘glu, H.H., On the characterization of spherical curves in 3-dimensional Sasakian spaces, J. Math. Anal. Appl. 342 (2008) 1151–1159.
  7. [7] S.S. Chern, Z. Shen, Riemann Finsler Geometry, World Scientific, 2005.
  8. [8] S. Deshmukh, B.Y. Chen, S.H. Alshammari, On rectifying curves in Euclidean 3-space, Turk J Math. 42 (2018), 609-620.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Conference Paper

Publication Date

November 25, 2019

Submission Date

August 26, 2019

Acceptance Date

October 6, 2019

Published in Issue

Year 2019 Volume: 2 Number: 2

APA
Özdemir, Z., Ateş, F., & Ekmekçi, F. N. (2019). Spherical Curves in Finsler 3-Space. Conference Proceedings of Science and Technology, 2(2), 158-163. https://izlik.org/JA52RN29BC
AMA
1.Özdemir Z, Ateş F, Ekmekçi FN. Spherical Curves in Finsler 3-Space. Conference Proceedings of Science and Technology. 2019;2(2):158-163. https://izlik.org/JA52RN29BC
Chicago
Özdemir, Zehra, Fatma Ateş, and Faik Nejat Ekmekçi. 2019. “Spherical Curves in Finsler 3-Space”. Conference Proceedings of Science and Technology 2 (2): 158-63. https://izlik.org/JA52RN29BC.
EndNote
Özdemir Z, Ateş F, Ekmekçi FN (November 1, 2019) Spherical Curves in Finsler 3-Space. Conference Proceedings of Science and Technology 2 2 158–163.
IEEE
[1]Z. Özdemir, F. Ateş, and F. N. Ekmekçi, “Spherical Curves in Finsler 3-Space”, Conference Proceedings of Science and Technology, vol. 2, no. 2, pp. 158–163, Nov. 2019, [Online]. Available: https://izlik.org/JA52RN29BC
ISNAD
Özdemir, Zehra - Ateş, Fatma - Ekmekçi, Faik Nejat. “Spherical Curves in Finsler 3-Space”. Conference Proceedings of Science and Technology 2/2 (November 1, 2019): 158-163. https://izlik.org/JA52RN29BC.
JAMA
1.Özdemir Z, Ateş F, Ekmekçi FN. Spherical Curves in Finsler 3-Space. Conference Proceedings of Science and Technology. 2019;2:158–163.
MLA
Özdemir, Zehra, et al. “Spherical Curves in Finsler 3-Space”. Conference Proceedings of Science and Technology, vol. 2, no. 2, Nov. 2019, pp. 158-63, https://izlik.org/JA52RN29BC.
Vancouver
1.Zehra Özdemir, Fatma Ateş, Faik Nejat Ekmekçi. Spherical Curves in Finsler 3-Space. Conference Proceedings of Science and Technology [Internet]. 2019 Nov. 1;2(2):158-63. Available from: https://izlik.org/JA52RN29BC