Work

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

Year: 2024

Type: article

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.

Source: European Journal of Pure and Applied Mathematics

DOI: 10.29020/nybg.ejpam.v17i4.5492

Authors: Lamia Alqahtani, Ebtehal Al-Husainy

Institutions: King Abdulaziz University, Taibah University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403933964

FWCI: 0.2

Cites:

Cited by: 1

Related to: 10