Displaying similar documents to “A Deformation Lemma on a C1 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...

Totally Umbilical Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold

Khan, M. A., Uddin, Siraj, Singh, Khushwant (2010)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 53C40, 53B25. In the present note we study totally umbilical pseudo-slant submanifolds of a nearly cosymplectic manifold. We have obtained a classification theorem for totally umbilical pseudo-slant submanifolds of a nearly cosymplectic manifold.

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...