Displaying similar documents to “Warped Product CR-Submanifolds of Lorentzian β -Kenmotsu Manifolds”

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...

On normal CR-submanifolds of S-manifolds

José Cabrerizo, Luis Fernández, Manuel Fernández (1993)

Colloquium Mathematicae

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Many authors have studied the geometry of submanifolds of Kaehlerian and Sasakian manifolds. On the other hand, David E. Blair has initiated the study of S-manifolds, which reduce, in particular cases, to Sasakian manifolds ([1, 2]). I. Mihai ([8]) and L. Ornea ([9]) have investigated CR-submanifolds of S-manifolds. The purpose of the present paper is to study a special kind of such submanifolds, namely the normal CR-submanifolds. In Sections 1 and 2, we review basic formulas and definitions...