Optimal Inequalities Characterizing Totally Real Submanifolds in Quaternionic Space Form
Fatimah Alghamdi () and
Akram Ali
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Fatimah Alghamdi: Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia
Akram Ali: Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
Mathematics, 2025, vol. 13, issue 10, 1-11
Abstract:
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.
Keywords: totally real submanifold; second fundamental form; rigidity theorems; scalar curvature; space form; mean curvature (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:10:p:1643-:d:1658000
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