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Displaying similar documents to “Some results on warped product submanifolds of a Sasakian manifold.”

Slant and pseudo-slant submanifolds in LCS -manifolds

Mehmet Atçeken, Shyamal Kumar Hui (2013)

Czechoslovak Mathematical Journal

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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...

Contact CR-Submanifolds of Kenmotsu Manifolds

Atçeken, Mehmet (2011)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 53C15, 53C42. In this paper, we research some fundamental properties of contact CR-Submanifolds of a Kenmotsu manifold. We show that the anti-invariant distribution is always integrable and give a necessary and sufficient condition for the invariant distribution to be integrable. After then, properties of the induced structures on submanifold by almost contact metric structure on the ambient manifold are categorized. Finally, we give...

Warped Product Semi-Slant Submanifolds of a Sasakian Manifold

Al-Solamy, Falleh R., Khan, Viqar Azam (2008)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 53C40, 53C25. In the present note, it is proved that there donot exist warped product semi-slant submanifolds in a Sasakian manifold other than contact CR-warped product submanifolds and thus the results obtained in [8] are generalized.