Genelleştirilmiş ve Genişletilmiş Genelleştirilmiş f-tekrarlı Sasakian Finsler Yapılar Üzerine
Bu araştırmada, yatay ve dikey tanjant demetleri üzerinde genelleştirilmiş ve genişletilmiş genelleştirilmiş f-tekrarlı Sasakian Finsler yapılar ve bunların çeşitli geometrik özellikleri çalışıldı.
On Generalized and Extended Generalized f-recurrent Sasakian Finsler Structures
In this research, generalized and extended generalized f-recurrent SasakianFinsler structures on horizontal and vertical tangent bundles and their various geometricproperties are studied.
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- [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.