D-Recurrent Kropina Spaces with Generalized Douglas Metric

Volume: 1 Number: 1 July 1, 2016
  • Salim Ceyhan
  • Gülçin Çivi
EN

D-Recurrent Kropina Spaces with Generalized Douglas Metric

Abstract

In this paper, we obtain the necessary and sufficient condition for a D-recurrent Kropina space to be a generalized Douglas space. Further we prove equivalent conditions for a D-recurrent Kropina space with weak Berwald metric.

Keywords

References

  1. [1] S. Bácsó and M. Matsumoto, “On Finsler spaces of Douglas type. A generalization of the notion of Berwald space”, Publ. Math., Debrecen, vol. 53/3-4, pp.423-438 ,1998.
  2. [2] M. Matsumoto, “Finsler spaces with ( , )   metric of Douglas type”, Tensor, N.,S.,vol. 60,pp. 123-134 ,1998.
  3. [3] M. Matsumoto, “Theory of Finsler spaces with an ( , )   metric”, Rep. on Math.Phys., vol. 31, pp. 43-83, 1992.
  4. [4] M. Matsumoto, “The Berwald connection of a Finsler space with an ( , )   metric”, Tensor, N. S., vol.50, pp. 18-25 ,1991.
  5. [5] S. Ceyhan and G. Çivi, “On special Kropina Spaces”, Publ. Math., Debrecen, rewiev, 2014.
  6. [6] Z. Shen, Lectures on Finsler geometry, World Scientific, Singapore, New Jersey, London, Hong Kong, 2001.
  7. [7] Z. Shen, Differential geometry of spray and Finsler spaces, Kluwer Academic Publishers, Dordrecht, 2001.
  8. [8] Antonelli, P.L., Ingarden, R.S. and Matsumoto, M., The theory of sprays and Finsler spaces with applications in Physics and biology, Kluwer Acad. Publ. Dordrecht, 1993.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Salim Ceyhan This is me
Department of Computer Engineering, Bilecik Sheikh Edebali University,11210, BİLECİK

Gülçin Çivi This is me
Department of Mathematics, Istanbul Technical University,34469, ISTANBUL

Publication Date

July 1, 2016

Submission Date

July 1, 2016

Acceptance Date

-

Published in Issue

Year 2014 Volume: 1 Number: 1

APA
Ceyhan, S., & Çivi, G. (2016). D-Recurrent Kropina Spaces with Generalized Douglas Metric. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, 1(1), 17-21. https://izlik.org/JA63HN93UD
AMA
1.Ceyhan S, Çivi G. D-Recurrent Kropina Spaces with Generalized Douglas Metric. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 2016;1(1):17-21. https://izlik.org/JA63HN93UD
Chicago
Ceyhan, Salim, and Gülçin Çivi. 2016. “D-Recurrent Kropina Spaces With Generalized Douglas Metric”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 1 (1): 17-21. https://izlik.org/JA63HN93UD.
EndNote
Ceyhan S, Çivi G (July 1, 2016) D-Recurrent Kropina Spaces with Generalized Douglas Metric. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 1 1 17–21.
IEEE
[1]S. Ceyhan and G. Çivi, “D-Recurrent Kropina Spaces with Generalized Douglas Metric”, Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, vol. 1, no. 1, pp. 17–21, July 2016, [Online]. Available: https://izlik.org/JA63HN93UD
ISNAD
Ceyhan, Salim - Çivi, Gülçin. “D-Recurrent Kropina Spaces With Generalized Douglas Metric”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi 1/1 (July 1, 2016): 17-21. https://izlik.org/JA63HN93UD.
JAMA
1.Ceyhan S, Çivi G. D-Recurrent Kropina Spaces with Generalized Douglas Metric. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi. 2016;1:17–21.
MLA
Ceyhan, Salim, and Gülçin Çivi. “D-Recurrent Kropina Spaces With Generalized Douglas Metric”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, vol. 1, no. 1, July 2016, pp. 17-21, https://izlik.org/JA63HN93UD.
Vancouver
1.Salim Ceyhan, Gülçin Çivi. D-Recurrent Kropina Spaces with Generalized Douglas Metric. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi [Internet]. 2016 Jul. 1;1(1):17-21. Available from: https://izlik.org/JA63HN93UD