The First Eigenvalue Estimates of Warped Product Pseudo-Slant Submanifolds
Department of Mathematics, College of Science, King Khalid University, 9004 Abha, Saudi Arabia
Institute of Mathematical Sciences, University Malaya, Kuala Lumpur 50603, Malaysia
Author to whom correspondence should be addressed.
Received: 13 January 2019 / Revised: 1 February 2019 / Accepted: 7 February 2019 / Published: 11 February 2019
The aim of this paper is to construct a sharp general inequality for warped product pseudo-slant submanifold of the type
, 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.
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MDPI and ACS Style
Ali, R.; Alkhaldi, A.H.; Ali, A.; Othman, W.A.M. The First Eigenvalue Estimates of Warped Product Pseudo-Slant Submanifolds. Mathematics 2019, 7, 162.
Ali R, Alkhaldi AH, Ali A, Othman WAM. The First Eigenvalue Estimates of Warped Product Pseudo-Slant Submanifolds. Mathematics. 2019; 7(2):162.
Ali, Rifaqat; Alkhaldi, Ali H.; Ali, Akram; Othman, Wan A.M. 2019. "The First Eigenvalue Estimates of Warped Product Pseudo-Slant Submanifolds." Mathematics 7, no. 2: 162.
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