Applications of inequalities in the study of pseudo-umbilical Lagrangian submanifolds of locally conformal Kaehler space forms with parallel Lee form
In the present article, we investigate pseudo-umbilical Lagrangian submanifolds of locally conformal Kaehler space forms with parallel Lee form, called generalized Hopf manifolds. We prove that such submanifolds are isometric to Euclidean spheres under certain geometric inequalities. In particular, we deduce an isometry theorem for the case of minimal Lagrangian submanifolds.
Authors
- Mohammed Jamali (ORCID: https://orcid.org/0000-0002-3197-8277)
- Ion Mihai (ORCID: https://orcid.org/0000-0003-3782-2983)
- Adela Mihai (ORCID: https://orcid.org/0000-0003-2033-8394)
- Mohammad Hasan Shahid (ORCID: https://orcid.org/0000-0001-9787-2881)
Institutions
- University of Bucharest (RO)
- Technical University of Civil Engineering of Bucharest (RO)
- Transylvania University of Brașov (RO)
- Jamia Millia Islamia (IN)
Publication Details
- Journal
- Journal of Mathematical Analysis and Applications
- Published
- 2025-06-27
- DOI
- https://doi.org/10.1016/j.jmaa.2025.129834
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00