Warped product semi-invariant submanifolds in almost paracontact Riemannian manifolds.
CR-submanifolds of Kählerian product manifolds.
Contact CR-Submanifolds of Kenmotsu Manifolds
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 some results...
Geometry of Warped Product Semi-Invariant Submanifolds of a Locally Riemannian Product Manifold
2000 Mathematics Subject Classification: 53C42, 53C15. In this article, we have studied warped product semi-invariant submanifolds in a locally Riemannian product manifold and introduced the notions of a warped product semi-invariant submanifold. We have also proved several fundamental properties of a warped product semi-invariant in a locally Riemannian product manifold. Supported by the Scientific Research Fund of St. Kl. Ohridski Sofia University under contract 90/2008....
Invariant submanifolds of Sasakian manifolds.
Slant and pseudo-slant submanifolds in -manifolds
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 a slant submanifold...
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