Geometry of warped product pseudo-slant submanifolds of Kenmotsu manifolds |
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| Authors: | Falleh Rijaullah Al-Solamy Monia Fouad Naghi |
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| Institution: | 1. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia. E-Mail falleh@hotmail.com;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia. E-Mail mfnaghi@gmail.com |
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| Abstract: | In this paper, we study pseudo-slant submanifolds and their warped products in Kenmotsu manifolds. We obtain the necessary conditions that a pseudoslant submanifold is locally a warped product and establish an inequality for the squared norm of the second fundamental form in terms of the warping function. The equality case is also considered. |
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| Keywords: | 53C25 53C40 53C42 53B25 |
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