On Skew Semi-Invariant Submanifolds of Cosymplectic Manifolds

Abstract

In this research, we investigate a new class of submanifold of a cosymplectic manifold, called "skew semi-invariant submanifold", for which sucient conditions are discussed with aim to state the related integrability of distributions. The differential geometric aspects are treated within the standard scheme, in part it is stated that a manifold with non-trivial invariant distribution is CR-manifold. Moreover, we discussed the some properties of sectional curvature of skew-semi invariant submanifolds of a cosymplectic manifold.