Geometric Inequalities of Bi-Warped Product Submanifolds of Nearly Kenmotsu Manifolds and Their Applications

Akram Ali and Fatemah Mofarreh
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Akram Ali: Department of Mathematics, College of Science, King Khalid University, Abha 62529, Saudi Arabia
Fatemah Mofarreh: Mathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi Arabia

Mathematics, 2020, vol. 8, issue 10, 1-16

Abstract: The present paper aims to construct an inequality for bi-warped product submanifolds in a special class of almost metric manifolds, namely nearly Kenmotsu manifolds. As geometric applications, some exceptional cases that generalized several other inequalities are discussed. We also deliberate some applications in the context of mathematical physics and derive a new relation between the Dirichlet energy and the second fundamental form. Finally, we present a constructive remark at the end of this paper which shows the motive of the study.

Keywords: bi-warped products; slant immersion; nearly Kenmotsu manifold; inequality; warping functions; Dirichlet energy (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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