LIGHTLIKE HYPERSURFACES OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH AN (l, m)-TYPE METRIC CONNECTION

2018 ◽  
Vol 103 (8) ◽  
pp. 1323-1343
Author(s):  
Dae Ho Jin
Keyword(s):  
Sasakian Manifold ◽  
Metric Connection ◽  
Lightlike Hypersurfaces

scholarly journals Lightlike hypersurfaces of an (ε)-para Sasakian manifold with a semi-symmetric non-metric connection

Filomat ◽  
2018 ◽  
Vol 32 (16) ◽  
pp. 5767-5786
Author(s):  
Feyza Erdoğan ◽  
Selcen Perktaş
Keyword(s):  
Sasakian Manifold ◽  
Sasakian Manifolds ◽  
Totally Geodesic ◽  
Lightlike Hypersurface ◽  
Ambient Manifold ◽  
Integrability Conditions ◽  
Metric Connection ◽  
Lightlike Hypersurfaces

In the present paper, we study a lightlike hypersurface, when the ambient manifold is an (?)-para Sasakian manifold endowed with a semi-symmetric non-metric connection. We obtain a condition for such a lightlike hypersurface to be totally geodesic. We define invariant and screen semi-invariant lightlike hypersurfaces of (?)-para Sasakian manifolds with a semi-symmetric non-metric connection. Also, we obtain integrability conditions for the distributions D ? ??? and D' ? ??? of a screen semi-invariant lightlike hypersurface of an (?)-para Sasakian manifolds with a semi-symmetric non-metric connection.

scholarly journals Characterizations of the Total Space (Indefinite Trans-Sasakian Manifolds) Admitting a Semi-Symmetric Metric Connection

Axioms ◽  
2018 ◽  
Vol 7 (3) ◽  
pp. 68
Author(s):  
Dae Jin ◽  
Jae Lee
Keyword(s):  
Space Form ◽  
Sasakian Manifold ◽  
Total Space ◽  
Sasakian Space Form ◽  
Sasakian Manifolds ◽  
Metric Connection ◽  
Generalized Sasakian Space Form ◽  
Lightlike Hypersurfaces ◽  
Kenmotsu Space Form

We investigate recurrent, Lie-recurrent, and Hopf lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a semi-symmetric metric connection. In these hypersurfaces, we obtain several new results. Moreover, we characterize that the total space (an indefinite generalized Sasakian space form) with a semi-symmetric metric connection is an indefinite Kenmotsu space form under various lightlike hypersurfaces.

scholarly journals Lightlike Hypersurfaces of Indefinite Generalized Sasakian Space Forms

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Dae Ho Jin
Keyword(s):  
Vector Field ◽  
Space Form ◽  
Sasakian Manifold ◽  
Sasakian Space Form ◽  
Space Forms ◽  
Sasakian Structure ◽  
Sasakian Space Forms ◽  
Generalized Sasakian Space Form ◽  
Characterization Theorems ◽  
Lightlike Hypersurfaces

We study lightlike hypersurfacesMof an indefinite generalized Sasakian space formM-(f1,f2,f3), with indefinite trans-Sasakian structure of type(α,β), subject to the condition that the structure vector field ofM-is tangent toM. First we study the general theory for lightlike hypersurfaces of indefinite trans-Sasakian manifold of type(α,β). Next we prove several characterization theorems for lightlike hypersurfaces of an indefinite generalized Sasakian space form.

scholarly journals On a Lorentzian Sasakian manifold endowed with a quarter-symmetric metric connection

2019 ◽  
Vol 57 (2) ◽  
pp. 61-76
Author(s):  
Rajendra Prasad ◽  
Shashikant Pandey ◽  
Abdul Haseeb
Keyword(s):  
Sasakian Manifold ◽  
Metric Connection

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

scholarly journals Results on para-Sasakian manifold admitting a quarter symmetric metric connection

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

scholarly journals Lightlike Hypersurfaces of an Indefinite Para Sasakian Manifold

2019 ◽  
Vol 9 (2) ◽  
pp. 352-373
Author(s):  
Selcen YÜKSEL PERKTAŞ ◽  
Erol Kılıç ◽  
Mukut Mani Tripathi
Keyword(s):  
Sasakian Manifold ◽  
Lightlike Hypersurfaces
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