Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds

Siraj Uddin, Bang-Yen Chen () and Rawan Bossly
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Siraj Uddin: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Bang-Yen Chen: Department of Mathematics, Michigan State University, East Lansing, MI 8824-1027, USA
Rawan Bossly: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2023, vol. 11, issue 12, 1-11

Abstract: Recently, we studied CR-slant warped products B 1 × f M ⊥ , where B 1 = M T × M θ is the Riemannian product of holomorphic and proper slant submanifolds and M ⊥ is a totally real submanifold in a nearly Kaehler manifold. In the continuation, in this paper, we study B 2 × f M θ , where B 2 = M T × M ⊥ is a CR-product of a nearly Kaehler manifold and establish Chen’s inequality for the squared norm of the second fundamental form. Some special cases of Chen’s inequality are given.

Keywords: CR-product; CR-warped product; CR-slant warped product; Chen’s inequality; nearly Kaehler manifolds (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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