Pointwise Pseudo-slant Warped Product Submanifolds in a Kähler Manifold

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• 作者：S. K. Srivastava ; A. Sharma
• 关键词：Warped product ; pointwise slant submanifold ; pointwise pseudo ; slant submanifold ; Kähler manifold
• 刊名：Mediterranean Journal of Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：14
• 期：1
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1660-5454
• 卷排序：14

文摘

The purpose of this paper is to study the pointwise pseudo-slant warped product submanifolds of a Kähler manifold \(\widetilde{M}\). We derive the conditions of integrability and totally geodesic foliation for the distributions allied to the characterization of a pointwise pseudo-slant submanifolds of \(\widetilde{M}\). The necessary and sufficient conditions for isometrically immersed pointwise pseudo-slant submanifolds of \(\widetilde{M}\) to be a pointwise pseudo-slant warped product and a locally Riemannian product are obtained. Further, we classify pointwise pseudo-slant warped product submanifolds of \(\widetilde{M}\) by developing the sharp inequalities in terms of second fundamental form and wrapping function.