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On Generalized and Extended Generalized $\phi$-recurrent Sasakian Finsler Structures

Year 2018, Volume: 22 Issue: Special, 493 - 497, 05.10.2018

Abstract

In this research, generalized and extended generalized  $\phi $-recurrent  Sasakian Finsler structures on horizontal and vertical tangent bundles and their various geometric properties are studied.

References

  • [1] Bandyopadhyay M., On generalized f-recurrent Sasakian manifolds, Mathematica Pannonica. 22(1) (2011), 19–23.
  • [2] Basari A. and Murathan C. , On generalized f- recurrent Kenmotsu manifolds, Fen Derg. 3(1) (2008), 91–97.
  • [3] Besse A. L., Einstein manifolds, Springer Science & Business Media, 2007.
  • [4] Chaubey S. K. and Prasad C. S., On generalized f- Recurrent Kenmotsu Manifolds, TWMS Journal of Applied and Engineering Mathematics. 5(1) (2015), 1–9.
  • [5] Dahl M., A brief introduction to Finsler geometry, 2006.
  • [6] De U. C., Shaikh A.A. and Biswas S., On f-recurrent Sasakian manifolds, Novi Sad J. Math. 33(2) 01 (2015), 43–48.
  • [7] Debnath D. and Bhattacharyya A., On generalized f- recurrent trans-Sasakian manifolds, Acta Universitatis Apulensis. (36) (2013), 253–266.
  • [8] Dubey R. S. D., Generalized recurrent spaces, Indian J. Pure Appl. Math. 10(12) (1979), 1508–1513.
  • [9] Jaiswal, J. P. and Yadav, A. S., On extended generalized f-recurent trans-Sasakian manifolds, Acta Mathematica Universitatis Comenianae, 86(2) (2017), 271–277.
  • [10] Mo X., An introduction to Finsler geometry, World Scientific, 2006.
  • [11] Prakasha D. G., On extended generalized f-recurrent Sasakian manifolds, Journal of the Egyptian Mathematical Society. 21 (2013), 25–31.
  • [12] Prasad K., Quarter symmetric metric Finsler connections on Kenmotsu and P-Kenmotsu vector bundles, Intern. Math. Forum. 3(18) (2008), 847–855.
  • [13] Ruse H. S., Three-dimensional spaces of recurrent curvature, Proceedings of the London Mathematical Society. 2(1) (1948), 438–446.
  • [14] Shaikh A. A., Prakasha D.G. and Ahmad H., On generalized f-recurrent LP-Sasakian manifolds, Journal of the Egyptian Mathematical Society. 23(1) (2015), 161–166.
  • [15] Singh J. P., On generalized f-recurrent and generalized concircularly f-recurrent P-Sasakian manifolds, Novi Sad J. Math. 44(1) (2014), 153–163.
  • [16] Sinha B. B. and Yadav R.K., Almost contact semi symmetric metric Finsler connections on vector bundle, Indian J. pure appl. Math. 22(1) (1991), 29–39.
  • [17] Takahashi T., Sasakian f-symmetric spaces, Tohoku Math. J. 29 (1977), 91–113.
  • [18] Yaliniz A. F. and Caliskan N. , Sasakian Finsler manifolds, Turk. J. Math. 37(2) (2013), 319–339.
Year 2018, Volume: 22 Issue: Special, 493 - 497, 05.10.2018

Abstract

References

  • [1] Bandyopadhyay M., On generalized f-recurrent Sasakian manifolds, Mathematica Pannonica. 22(1) (2011), 19–23.
  • [2] Basari A. and Murathan C. , On generalized f- recurrent Kenmotsu manifolds, Fen Derg. 3(1) (2008), 91–97.
  • [3] Besse A. L., Einstein manifolds, Springer Science & Business Media, 2007.
  • [4] Chaubey S. K. and Prasad C. S., On generalized f- Recurrent Kenmotsu Manifolds, TWMS Journal of Applied and Engineering Mathematics. 5(1) (2015), 1–9.
  • [5] Dahl M., A brief introduction to Finsler geometry, 2006.
  • [6] De U. C., Shaikh A.A. and Biswas S., On f-recurrent Sasakian manifolds, Novi Sad J. Math. 33(2) 01 (2015), 43–48.
  • [7] Debnath D. and Bhattacharyya A., On generalized f- recurrent trans-Sasakian manifolds, Acta Universitatis Apulensis. (36) (2013), 253–266.
  • [8] Dubey R. S. D., Generalized recurrent spaces, Indian J. Pure Appl. Math. 10(12) (1979), 1508–1513.
  • [9] Jaiswal, J. P. and Yadav, A. S., On extended generalized f-recurent trans-Sasakian manifolds, Acta Mathematica Universitatis Comenianae, 86(2) (2017), 271–277.
  • [10] Mo X., An introduction to Finsler geometry, World Scientific, 2006.
  • [11] Prakasha D. G., On extended generalized f-recurrent Sasakian manifolds, Journal of the Egyptian Mathematical Society. 21 (2013), 25–31.
  • [12] Prasad K., Quarter symmetric metric Finsler connections on Kenmotsu and P-Kenmotsu vector bundles, Intern. Math. Forum. 3(18) (2008), 847–855.
  • [13] Ruse H. S., Three-dimensional spaces of recurrent curvature, Proceedings of the London Mathematical Society. 2(1) (1948), 438–446.
  • [14] Shaikh A. A., Prakasha D.G. and Ahmad H., On generalized f-recurrent LP-Sasakian manifolds, Journal of the Egyptian Mathematical Society. 23(1) (2015), 161–166.
  • [15] Singh J. P., On generalized f-recurrent and generalized concircularly f-recurrent P-Sasakian manifolds, Novi Sad J. Math. 44(1) (2014), 153–163.
  • [16] Sinha B. B. and Yadav R.K., Almost contact semi symmetric metric Finsler connections on vector bundle, Indian J. pure appl. Math. 22(1) (1991), 29–39.
  • [17] Takahashi T., Sasakian f-symmetric spaces, Tohoku Math. J. 29 (1977), 91–113.
  • [18] Yaliniz A. F. and Caliskan N. , Sasakian Finsler manifolds, Turk. J. Math. 37(2) (2013), 319–339.
There are 18 citations in total.

Details

Journal Section Articles
Authors

Nesrin Çalışkan This is me

Ayşe Funda Sağlamer This is me

Publication Date October 5, 2018
Published in Issue Year 2018 Volume: 22 Issue: Special

Cite

APA Çalışkan, N., & Sağlamer, A. F. (2018). On Generalized and Extended Generalized $\phi$-recurrent Sasakian Finsler Structures. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22, 493-497.
AMA Çalışkan N, Sağlamer AF. On Generalized and Extended Generalized $\phi$-recurrent Sasakian Finsler Structures. J. Nat. Appl. Sci. October 2018;22:493-497.
Chicago Çalışkan, Nesrin, and Ayşe Funda Sağlamer. “On Generalized and Extended Generalized $\phi$-Recurrent Sasakian Finsler Structures”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22, October (October 2018): 493-97.
EndNote Çalışkan N, Sağlamer AF (October 1, 2018) On Generalized and Extended Generalized $\phi$-recurrent Sasakian Finsler Structures. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 493–497.
IEEE N. Çalışkan and A. F. Sağlamer, “On Generalized and Extended Generalized $\phi$-recurrent Sasakian Finsler Structures”, J. Nat. Appl. Sci., vol. 22, pp. 493–497, 2018.
ISNAD Çalışkan, Nesrin - Sağlamer, Ayşe Funda. “On Generalized and Extended Generalized $\phi$-Recurrent Sasakian Finsler Structures”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (October 2018), 493-497.
JAMA Çalışkan N, Sağlamer AF. On Generalized and Extended Generalized $\phi$-recurrent Sasakian Finsler Structures. J. Nat. Appl. Sci. 2018;22:493–497.
MLA Çalışkan, Nesrin and Ayşe Funda Sağlamer. “On Generalized and Extended Generalized $\phi$-Recurrent Sasakian Finsler Structures”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 22, 2018, pp. 493-7.
Vancouver Çalışkan N, Sağlamer AF. On Generalized and Extended Generalized $\phi$-recurrent Sasakian Finsler Structures. J. Nat. Appl. Sci. 2018;22:493-7.

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