A Simple Proof of Chen–Ricci Inequality and Applications
In the present paper, we give a simple proof of the Chen–Ricci inequality for submanifolds in Riemannian and Lorentzian space forms, respectively. Moreover, we extend the Chen–Ricci inequality to submanifolds in Lorentzian manifolds with a semi-symmetric non-metric connection.
Authors
- Ion Mihai (ORCID: https://orcid.org/0000-0003-3782-2983)
Institutions
- University of Bucharest (RO)
Publication Details
- Journal
- Geometry
- Published
- 2025-12-01
- DOI
- https://doi.org/10.3390/geometry2040020
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00