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Slant and pseudo-slant submanifolds in LCS-manifolds

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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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Authors and Affiliations

  1. Faculty of Arts and Sciences, Department of Mathematics, Gaziosmanpasa University, 60100, Tokat, Turkey

    Mehmet Atçeken

  2. Nikhil Banga Sikshan Mahavidyalaya, Bishnupur, 722 122, Bankura, West Bengal, India

    Shyamal Kumar Hui

Authors
  1. Mehmet Atçeken
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  2. Shyamal Kumar Hui
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Correspondence to Mehmet Atçeken.

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Atçeken, M., Hui, S.K. Slant and pseudo-slant submanifolds in LCS-manifolds. Czech Math J 63, 177–190 (2013). https://doi.org/10.1007/s10587-013-0012-6

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  • DOI: https://doi.org/10.1007/s10587-013-0012-6

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