On Skew Semi-Invariant Submanifolds of Cosymplectic Manifolds
Mohd Danish Siddiqi *
Department of Mathematics, Faculty of Science, Jazan University, Jazan, Kingdom of Saudi Arabia.
*Author to whom correspondence should be addressed.
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.
Keywords: Skew semi-invariant submanifolds, cosymplectic manifold, integrability conditions of the distributions, sectional curvature tensor, CR-structure.