A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold

Siraj Uddin and M. Z. Ullah
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Siraj Uddin: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
M. Z. Ullah: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2020, vol. 8, issue 9, 1-11

Abstract: In the early 20th century, B.-Y. Chen introduced the concept of CR-warped products and obtained several fundamental results, such as inequality for the length of second fundamental form. In this paper, we obtain B.-Y. Chen’s inequality for CR-slant warped products in nearly cosymplectic manifolds, which are the more general classes of manifolds. The equality case of this inequality is also investigated. Furthermore, the inequality is discussed for some important subclasses of CR-slant warped products.

Keywords: warped products; CR-slant warped product; nearly cosymplectic manifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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