## Warped product semi-invariant submanifolds of nearly cosymplectic manifolds.(English)Zbl 1236.53013

Summary: We study warped product semi-invariant submanifolds of nearly cosymplectic manifolds. We prove that a warped product of the type $$M_\perp \times _fM_T$$ is a usual Riemannian product of $$M_\perp$$ and $$M_T$$, where $$M_\perp$$ and $$M_T$$ are anti-invariant and invariant submanifolds of a nearly cosymplectic manifold $$\overline M$$, respectively. Thus, we consider a warped product of the type $$M_T \times _fM_\perp$$ and obtain a characterization for such type of warped product.

### MSC:

 53B25 Local submanifolds 53D05 Symplectic manifolds (general theory)

### Keywords:

invariant submanifolds; anti-invariant submanifolds
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### References:

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