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Some results on warped product submanifolds of a Sasakian manifold - MaRDI portal

Some results on warped product submanifolds of a Sasakian manifold (Q963569)

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scientific article; zbMATH DE number 5695262
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English
Some results on warped product submanifolds of a Sasakian manifold
scientific article; zbMATH DE number 5695262

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    Some results on warped product submanifolds of a Sasakian manifold (English)
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    20 April 2010
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    The authors study warped product submanifolds of Sasakian manifolds. Mainly, they prove the non-existence of a warped product pseudo-slant submanifold \( M=N_{\perp }\times _{\lambda }N_{\theta }\), where \(N_{\perp }\) is an anti-invariant and \(N_{\theta }\) is a proper slant submanifold of a Sasakian manifold \(\overline{M}\) such that \(\xi \) is tangent to \(N_{\perp }\).
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    Sasakian manifold
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    warped product submanifold
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    pseudo-slant submanifold
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