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On semi-invariant submanifolds of a nearly trans-Sasakian manifold admitting a semi-symmetric semi-metric connection

Das L. S., Ahmad M., Danish Siddiqi M., Haseeb A.

Demonstratio Mathematica

2013

Vol. 46, nr 2

345--359

We define a semi-symmetric semi-metric connection in a nearly trans-Sasakian manifold and we consider semi-invariant submanifolds of a nearly trans-Sasakian manifold endowed with a semi-symmetric semi-metric connection. Moreover, we also obtain integrability conditions of the distributions on semi-invariant submanifolds.

On semi-invariant submanifolds of a nearly Sasakian manifold admitting a semi-symmetric non-metric connection

Das L., Ahmad M., Haseeb A.

Journal of Applied Analysis

2011

Vol. 17, nr 1

119-130

We define a semi-symmetric non-metric connection in a nearly Sasakian manifold and we consider semi-invariant submanifolds of a nearly Sasakian manifold endowed with a semi-symmetric non-metric connection. Moreover, we also obtain integrability conditions of the distributions on semi-invariant submanifolds.

Semi-invariant submanifolds of Lorentzian Sasakian manifolds

Alegre P.

Demonstratio Mathematica

2011

Vol. 44, nr 2

391--406

In this paper we introduce the notion of semi-invariant submanifolds of a Lorentzian almost contact manifold. We study their principal characteristics and the particular cases in which the manifold is a Lorentzian Sasakian manifold or a Lorentzian Sasakian space form.