Chen's Inequality for CR-warped Products in Locally Metallic Riemannian Manifolds
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.
Authors
- Lamia Saeed Alqahtani (ORCID: https://orcid.org/0000-0002-6137-1505)
- Ebtehal Al-Husainy
Institutions
- King Abdulaziz University (SA)
Publication Details
- Journal
- European Journal of Pure and Applied Mathematics
- Published
- 2024-10-31
- DOI
- https://doi.org/10.29020/nybg.ejpam.v17i4.5492
- Citations
- 1
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.97