Slant and pseudo-slant submanifolds in LCS-manifolds |
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Authors: | Mehmet Atçeken Shyamal Kumar Hui |
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Institution: | 112. Faculty of Arts and Sciences, Department of Mathematics, Gaziosmanpasa University, 60100, Tokat, Turkey 212. Nikhil Banga Sikshan Mahavidyalaya, Bishnupur, 722 122, Bankura, West Bengal, India
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Abstract: | 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 pseudoslant 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. |
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