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Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds
Version 1
: Received: 13 May 2023 / Approved: 15 May 2023 / Online: 15 May 2023 (08:05:56 CEST)
A peer-reviewed article of this Preprint also exists.
Uddin, S.; Chen, B.-Y.; Bossly, R. Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds. Mathematics 2023, 11, 2600. Uddin, S.; Chen, B.-Y.; Bossly, R. Geometry of CR-Slant Warped Products in Nearly Kaehler Manifolds. Mathematics 2023, 11, 2600.
Abstract
Recently, we studied CR-slant warped products B1×fM⊥, where B1=MT×Mθ 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 B2×fMθ, where B2=MT×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
Subject
Computer Science and Mathematics, Geometry and Topology
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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