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arXiv · 1812.03400

Geometry of contact skew CR-warped product submanifolds of Sasakian manifolds

Siraj Uddin·Falleh R. Al-Solamy·Fatimah Alghamdi·Reem Al-Ghefari
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Abstract

In this paper, we study warped products of contact skew-CR submanifolds, called contact skew CR-warped products. We establish an inequality for the squared norm of the second fundamental form in terms of the warping function and the slant angle. The equality case in the statement of the inequality is investigated and some applications of derived inequality are given. Furthermore, we provide a non-trivial example of such submanifolds.

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Siraj Uddin, Falleh R. Al-Solamy, Fatimah Alghamdi, Reem Al-Ghefari. 2018-12-08. Geometry of contact skew CR-warped product submanifolds of Sasakian manifolds. https://arxiv.org/abs/1812.03400

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