Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space Forms

Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space Forms

This paper investigates the relationship between homology groups and warped product semi-slant submanifolds in Kenmotsu space forms. Some rigidity theorems for vanishing homology groups on warped product semi-slant submanifolds are obtained using the moving-frame method and the second fundamental fo...

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Bibliographic Details
Main Authors: Noura M. Alhouiti, Ali H. Alkhaldi, Akram Ali, Fatemah Mofarreh, Piscoran Laurian-Ioan
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Axioms
Subjects:
Kenmotsu space form
homology groups
stable currents
second fundamental form
pinching theorems
Online Access:https://www.mdpi.com/2075-1680/14/3/210
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Summary:This paper investigates the relationship between homology groups and warped product semi-slant submanifolds in Kenmotsu space forms. Some rigidity theorems for vanishing homology groups on warped product semi-slant submanifolds are obtained using the moving-frame method and the second fundamental form inequality. Our results are an extension of previous studies in this direction.
ISSN:2075-1680

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