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Pinching Results on Totally Real Submanifolds of a Locally Conformal Kähler Manifolds

Author

Listed:
  • Noura M. Alhouiti

    (Department of Basic Sciences, University College of Haqel, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Ali H. Alkhaldi

    (Department of Mathematics, College of Sciences, King Khalid University, Abha 62529, Saudi Arabia)

  • Akram Ali

    (Department of Mathematics, College of Sciences, King Khalid University, Abha 62529, Saudi Arabia)

  • Piscoran Laurian-Ioan

    (North University Center of Baia Mare, Department of Mathematics and Computer Science, Technical University of Cluj Napoca, Victoriei 76, 430122 Baia Mare, Romania)

Abstract

This paper investigates the relationship between pseudo-umbilical and minimal totally real submanifolds in locally conformal Kähler space forms. Some rigidity theorems and an integral inequality are obtained using the moving-frame method and the DDVV inequality. Our results extend this line of previous research.

Suggested Citation

  • Noura M. Alhouiti & Ali H. Alkhaldi & Akram Ali & Piscoran Laurian-Ioan, 2025. "Pinching Results on Totally Real Submanifolds of a Locally Conformal Kähler Manifolds," Mathematics, MDPI, vol. 13(10), pages 1-12, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:10:p:1682-:d:1660479
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