Warped Product Semi-Invariant Submanifolds of Nearly Cosymplectic Manifolds

Abstract EN

We study warped product semi-invariant submanifolds of nearly cosymplectic manifolds.

We prove that the warped product of the type M⊥×fMT is a usual Riemannian product of M⊥ and MT, where M⊥ and MT are anti-invariant and invariant submanifolds of a nearly cosymplectic manifold M¯, respectively.

Thus we consider the warped product of the type MT×fM⊥ and obtain a characterization for such type of warped product.