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Semi-parallel CR submanifolds in a complex space form

Mayuko Kon (2011)

Colloquium Mathematicae

We show that there is no proper CR submanifold with semi-flat normal connection and semi-parallel second fundamental form in a complex space form with non-zero constant holomorphic sectional curvature such that the dimension of the holomorphic tangent space is greater than 2.

Slant and pseudo-slant submanifolds in LCS -manifolds

Mehmet Atçeken, Shyamal Kumar Hui (2013)

Czechoslovak Mathematical Journal

We show new results on when a pseudo-slant submanifold is a LCS-manifold. Necessary and sufficient conditions for a submanifold to be pseudo-slant are given. We obtain necessary and sufficient conditions for the integrability of distributions which are involved in the definition of the pseudo-slant submanifold. We characterize the pseudo-slant product and give necessary and sufficient conditions for a pseudo-slant submanifold to be the pseudo-slant product. Also we give an example of a slant submanifold...

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