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Optimal Inequalities Characterizing Totally Real Submanifolds in Quaternionic Space Form

Author

Listed:
  • Fatimah Alghamdi

    (Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia
    These authors contributed equally to this work.)

  • Akram Ali

    (Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Fatimah Alghamdi & Akram Ali, 2025. "Optimal Inequalities Characterizing Totally Real Submanifolds in Quaternionic Space Form," Mathematics, MDPI, vol. 13(10), pages 1-11, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:10:p:1643-:d:1658000
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