Optimal Inequalities Characterizing Totally Real Submanifolds in Quaternionic Space Form
In the present paper, we investigate some pinching inequalities on the scalar curvature of a totally real submanifold in quaternionic space form that leads to a topological conclusion of the submanifold. In addition, we construct another inequality which includes the mean curvature and the length of the second fundamental form.
Authors
- Akram Ali (ORCID: https://orcid.org/0000-0002-6053-3031)
- Fatimah Alghamdi (ORCID: https://orcid.org/0000-0002-6060-4856)
Institutions
- University of Jeddah (SA)
- King Khalid University (SA)
Publication Details
- Journal
- Mathematics
- Published
- 2025-05-17
- DOI
- https://doi.org/10.3390/math13101643
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- King Khalid University