Chen's Inequality for CR-warped Products in Locally Metallic Riemannian Manifolds
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i4.5492Keywords:
Warped product, CR warped product, Metallic Riemannian structure, Golden structure, CR submanifoldAbstract
In this paper, we study CR warped product submanifolds in locally metallic Riemannian manifolds. We provide several non-trivial examples of such submanifolds. We establish a sharp inequality known as Chen's inequality for the squared norm of the second fundamental form. We also discuss the equality case of Chen's inequality.
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Copyright (c) 2024 Lamia Alqahtani, Ebtehal Al-Husainy
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