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On submersion of CR-submanifolds of l.c.q.K. manifold - MaRDI portal

On submersion of CR-submanifolds of l.c.q.K. manifold (Q1929866)

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scientific article; zbMATH DE number 6123875
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English
On submersion of CR-submanifolds of l.c.q.K. manifold
scientific article; zbMATH DE number 6123875

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    On submersion of CR-submanifolds of l.c.q.K. manifold (English)
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    10 January 2013
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    Summary: We study submersion of CR-submanifolds of an l.c.q.K. manifold. We show that if an almost Hermitian manifold \(B\) admits a Riemannian submersion \(\pi : M \to B\) of a CR-submanifold \(M\) of a locally conformal quaternion Kähler manifold \(\overline{M}\), then \(B\) is a locally conformal quaternion Kähler manifold.
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    CR-manifolds
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    quaternion Hermitian manifold
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