Generalized Sasakian space forms with semi-symmetric non-metric connections

Abstract

We introduce generalized Sasakian space forms with semi-symmetric non-metric connections. We show the existence of a generalized Sasakian space form with a semi-symmetric non-metric connection and give some examples by warped products endowed with semi-symmetric non-metric connections.

A note on submanifolds of $\bar{M}^{2n+1}(f_1,f_2,f_3)$ with respect to certain connections

“…After introduced the semisymmetric linear connection by Friedman and Schouten [6], Hayden [8] gave the idea of metric connection with torsion on a Riemannian manifold. Later, Yano [29] and many others (see, [20], [21], [23] and references therein) studied semisymmetric metric connection in different context. The idea of semisymmetric non-metric connection was introduced by Agashe and Chafle [1].…”

Submanifolds of Generalized Sasakian-space-forms with respect to certain connections

“…After introducing the semisymmetric linear connection by Friedman and Schouten [7], Hayden [9] gave the idea of metric connection with torsion on a Riemannian manifold. Later, Yano [29] and many others (see, [21], [22], [24] and references therein) studied semisymmetric metric connection in different context. The idea of semisymmetric non-metric connection was introduced by Agashe and Chafle [1].…”