Geodesic
Slant and pseudo-slant submanifolds in ${\rm LCS}$-manifolds
Czechoslovak Mathematical Journal, Tome 63 (2013) no. 1, pp. 177-190
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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.
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.
DOI : 10.1007/s10587-013-0012-6
Classification : 53C15, 53C25, 53C40
Keywords: slant submanifold; pseudo-slant submanifold; ${\rm LCS}$-manifold 
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Atçeken, Mehmet; Kumar Hui, Shyamal. Slant and pseudo-slant submanifolds in ${\rm LCS}$-manifolds. Czechoslovak Mathematical Journal, Tome 63 (2013) no. 1, pp. 177-190. doi: 10.1007/s10587-013-0012-6

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