CR- Submanifolds of a Nearly Trans-Hyperbolic Sasakian Manifold with a Quarter Symmetric Semi Metric Connection

CR- Submanifolds of Nearly Hyperbolic Sasakian Manifold Endowed With A Quarter Symmetric Non-Metric Connection

We consider a nearly hyperbolic Sasakian manifold endowed with a quarter symmetric non-metric connection and study CRsubmanifolds of nearly hyperbolic Sasakian manifold endowed with a quarter symmetric nonmetric connection. We also obtain parallel distributions and discuss inerrability conditions of distributions on CR-submanifolds of nearly hyperbolic Sasakian manifold with quarter symmetric n...

Cr-submanifolds of a Nearly Trans-sasakian Manifold

Lightlike Hypersurfaces of a Trans-Sasakian Manifold with a Quarter-Symmetric Metric Connection

In this paper, we study the geometry of lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection. The main result is a characterization theorem for such a lightlike hypersurface of an indefinite generalized Sasakian space form. Mathematics Subject Classification: 53C25, 53C40, 53C50

On a Lorentzian Para-sasakian Manifold with Respect to the Quarter-symmetric Metric Connection

In this paper, we study certain curvature conditions satisfying by the conharmonic curvature tensor in a Lorentzian para-Sasakian manifold with respect to the quarter-symmetric metric connection. AMS Mathematics Subject Classification (2010): 53B05, 53C25

Inequalities for Submanifolds of a Riemannian Manifold of Nearly Quasi-constant Curvature with a Semi-symmetric Non-metric Connection

By using two new algebraic lemmas we obtain Chen’s inequalities for submanifolds of a Riemannian manifold of nearly quasi-constant curvature endowed with a semi-symmetric non-metric connection. Moreover, we correct a result of C. Özgür and A. Mihai’s paper (Chen inequalities for submanifolds of real space forms with a semi-symmetric non-metric connection, Canad. Math. Bull. 55 (2012), 611–622).