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

Noura M. Alhouiti, Ali H. Alkhaldi, Akram Ali () and Piscoran Laurian-Ioan
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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

Mathematics, 2025, vol. 13, issue 10, 1-12

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.

Keywords: locally conformal Kähler space form; totally real submanifolds; second fundamental form; pinching theorems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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