Chen's Inequality for CR-warped Products in Locally Metallic Riemannian Manifolds

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5492

Keywords:

Warped product, CR warped product, Metallic Riemannian structure, Golden structure, CR submanifold

Abstract

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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Published

2024-10-31

Issue

Section

Nonlinear Analysis

How to Cite

Chen’s Inequality for CR-warped Products in Locally Metallic Riemannian Manifolds. (2024). European Journal of Pure and Applied Mathematics, 17(4), 2481-2491. https://doi.org/10.29020/nybg.ejpam.v17i4.5492