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Keywords:
slant submanifold; pseudo-slant submanifold; ${\rm LCS}$-manifold
slant submanifold; pseudo-slant submanifold; ${\rm LCS}$-manifold
Summary:
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 in an LCS-manifold to illustrate the subject.
References:
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