Ricci Curvature Inequalities for Skew CR-Warped Product Submanifolds in Complex Space Forms

Meraj Ali Khan and Ibrahim Aldayel
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Meraj Ali Khan: Department of Mathematics, University of Tauk, Tabuk 71491, Saudi Arabia
Ibrahim Aldayel: Department of Mathematics, College of Science, Imam Ibn Saud Islamic University, Riyadh 11566, Saudi Arabia

Mathematics, 2020, vol. 8, issue 8, 1-19

Abstract: The fundamental goal of this study was to achieve the Ricci curvature inequalities for a skew CR-warped product (SCR W-P) submanifold isometrically immersed in a complex space form (CSF) in the expressions of the squared norm of mean curvature vector and warping functions (W-F). The equality cases were likewise examined. In particular, we also derived Ricci curvature inequalities for CR-warped product (CR W-P) submanifolds. To sustain this study, an example of these submanifolds is provided.

Keywords: Ricci curvature; skew CR-warped product submanifolds; complex space form; CR-warped product submanifolds; semi slant warped product submanifolds (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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