scholarly journals Geometry of hypersurfaces of a quarter symmetric non metric connection in a quasi-Sasakian manifold

2015 ◽  
Vol 7 (2) ◽  
pp. 226-235
Author(s):  
Sh. Rahman

The purpose of the paper is to study the notion of CR-submanifold and the existence of some structures on a hypersurface of a quarter symmetric non metric connection in a quasi-Sasakian manifold. We study the existence of a Kahler structure on $M$ and the existence of a globally metric frame $f$-structure in sence of Goldberg S.I., Yano K. We discuss the integrability of distributions on $M$ and geometry of their leaves. We have tries to relate this result with those before obtained by Goldberg V., Rosca R. devoted to Sasakian manifold and conformal connections.

Author(s):  
Rajendra Prasad ◽  
Shashikant Pandey ◽  
Abdul Haseeb

Abstract In the present paper, some results on a Lorentzian Sasakian manifold endowed with a quarter-symmetric metric connection have been studied.


Cubo (Temuco) ◽  
2020 ◽  
Vol 22 (2) ◽  
pp. 257-271
Author(s):  
S. V. Vishnuvardhana. ◽  
Venkatesha

2014 ◽  
Vol 12 (02) ◽  
pp. 159-172
Author(s):  
S.k. Pandey ◽  
G. Pandey ◽  
K. Tiwari ◽  
R.n. Singh

2016 ◽  
Vol 6 (2) ◽  
pp. 68
Author(s):  
Shamsur Rahman

The object of the present paper is to initiate the study contact CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection. For this, some properties of CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection are investigated which conclude that CR- submanifolds of a nearly trans-hyperbolic Sasakian manifold with a quarter symmetric semi metric connection exists with respect to the ?????horizontal and ?????vertical.


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