Hemi-Slant Warped Product Submanifolds of Nearly Kaehler Manifolds

Hemi-slant warped product submanifolds of nearly Kaehler manifolds are studied and some interesting results are obtained. Moreover, an inequality is established for squared norm of second fundamental form and equality case is also discussed. The results obtained are also true if ambient manifold is...

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Main Authors: Falleh R. Al-Solamy, Meraj Ali Khan
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/404851
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author Falleh R. Al-Solamy
Meraj Ali Khan
author_facet Falleh R. Al-Solamy
Meraj Ali Khan
author_sort Falleh R. Al-Solamy
collection DOAJ
description Hemi-slant warped product submanifolds of nearly Kaehler manifolds are studied and some interesting results are obtained. Moreover, an inequality is established for squared norm of second fundamental form and equality case is also discussed. The results obtained are also true if ambient manifold is replaced by a Kaehler manifold. These results generalize several known results in the literature.
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spelling doaj-art-8d66c971515941b89b43dafa947d9ef32025-02-03T01:10:13ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/404851404851Hemi-Slant Warped Product Submanifolds of Nearly Kaehler ManifoldsFalleh R. Al-Solamy0Meraj Ali Khan1Department of Mathematics, King Abdulaziz University, P.O. Box 80015, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Tabuk, Tabuk, Saudi ArabiaHemi-slant warped product submanifolds of nearly Kaehler manifolds are studied and some interesting results are obtained. Moreover, an inequality is established for squared norm of second fundamental form and equality case is also discussed. The results obtained are also true if ambient manifold is replaced by a Kaehler manifold. These results generalize several known results in the literature.http://dx.doi.org/10.1155/2014/404851
spellingShingle Falleh R. Al-Solamy
Meraj Ali Khan
Hemi-Slant Warped Product Submanifolds of Nearly Kaehler Manifolds
Abstract and Applied Analysis
title Hemi-Slant Warped Product Submanifolds of Nearly Kaehler Manifolds
title_full Hemi-Slant Warped Product Submanifolds of Nearly Kaehler Manifolds
title_fullStr Hemi-Slant Warped Product Submanifolds of Nearly Kaehler Manifolds
title_full_unstemmed Hemi-Slant Warped Product Submanifolds of Nearly Kaehler Manifolds
title_short Hemi-Slant Warped Product Submanifolds of Nearly Kaehler Manifolds
title_sort hemi slant warped product submanifolds of nearly kaehler manifolds
url http://dx.doi.org/10.1155/2014/404851
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AT merajalikhan hemislantwarpedproductsubmanifoldsofnearlykaehlermanifolds