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Non-existence of warped product semi-slant submanifolds of Kähler manifolds - MaRDI portal

Non-existence of warped product semi-slant submanifolds of Kähler manifolds (Q2494096)

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Non-existence of warped product semi-slant submanifolds of Kähler manifolds
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    Non-existence of warped product semi-slant submanifolds of Kähler manifolds (English)
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    16 June 2006
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    Let \(M\) be a Kähler manifold and \(N\) be a submanifold of \(M\). Then \(N\) is called a warped product semi-slant submanifold of \(M\), if it is either a warped product of a proper slant submanifold by a complex submanifold, or a warped product of a complex submanifold by a proper slant submanifold. The author proves the non-existence of warped product semi-slant submanifolds of a Kähler manifold. Also he presents an example of a CR-warped product of a Kähler manifold.
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    Kähler manifold
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    warped product
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    semi-slant submanifold
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