The First Eigenvalue Estimates of Warped Product Pseudo-Slant Submanifolds

Rifaqat Ali, Ali H. Alkhaldi, Akram Ali and Wan Ainun Mior Othman
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Rifaqat Ali: Department of Mathematics, College of Science, King Khalid University, 9004 Abha, Saudi Arabia
Ali H. Alkhaldi: Department of Mathematics, College of Science, King Khalid University, 9004 Abha, Saudi Arabia
Akram Ali: Department of Mathematics, College of Science, King Khalid University, 9004 Abha, Saudi Arabia
Wan Ainun Mior Othman: Institute of Mathematical Sciences, University Malaya, Kuala Lumpur 50603, Malaysia

Mathematics, 2019, vol. 7, issue 2, 1-10

Abstract: The aim of this paper is to construct a sharp general inequality for warped product pseudo-slant submanifold of the type M = M ⊥ × f M θ , in a nearly cosymplectic manifold, in terms of the warping function and the symmetric bilinear form h which is known as the second fundamental form. The equality cases are also discussed. As its application, we establish a bound for the first non-zero eigenvalue of the warping function whose base manifold is compact.

Keywords: nearly cosymplectic manifold; warped products; pseudo-slant; inequality; eigenvalue (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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