B.-Y. Chen's inequality for $CR$-warped products in a locally conformal Kaehler space form

Siraj Uddin; Khushwant Singh; Fatimah Alghamdi; Cengizhan Murathan

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arXiv · 1404.3468

B.-Y. Chen's inequality for $CR$-warped products in a locally conformal Kaehler space form

Siraj Uddin·Khushwant Singh·Fatimah Alghamdi·Cengizhan Murathan

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Abstract

n this paper, we obtain a geometric inequality between the length of the second fundamental form and the length of Lee form in terms of the warping function for a CR-warped product submanifold in a locally conformal Kaehler space form. The equality case is also investigated. Furthermore, the inequality is discussed for the important subclass of locally conformal Kaehler manifolds i.e., Vaisman manifold.

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Siraj Uddin, Khushwant Singh, Fatimah Alghamdi, Cengizhan Murathan. 2014-04-14. B.-Y. Chen's inequality for $CR$-warped products in a locally conformal Kaehler space form. https://arxiv.org/abs/1404.3468

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