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Uddin, Siraj; Kon, S. H.; Khan, M. A.; Singh, Khushwant

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

Math. Probl. Eng. 2011, Article ID 230374, 12 p. (2011).
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.

Cited in 1 Review
Cited in 4 Documents

MSC:

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

Keywords:

invariant submanifolds; anti-invariant submanifolds
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\textit{S. Uddin} et al., Math. Probl. Eng. 2011, Article ID 230374, 12 p. (2011; Zbl 1236.53013)
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