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 form inequality. Our results are an extension of previous studies in this direction.
Authors
- Fatemah Mofarreh (ORCID: https://orcid.org/0000-0002-2116-7382)
- Akram Ali (ORCID: https://orcid.org/0000-0002-6053-3031)
- Ali Hussain AlKhaldi (ORCID: https://orcid.org/0000-0002-6562-4610)
- Noura Alhouiti (ORCID: https://orcid.org/0009-0002-0354-0515)
- Laurian‐Ioan Pişcoran (ORCID: https://orcid.org/0000-0003-2269-718X)
Institutions
- Princess Nourah bint Abdulrahman University (SA)
- Technical University of Cluj-Napoca (RO)
- University of Tabuk (SA)
- King Khalid University (SA)
Publication Details
- Journal
- Axioms
- Published
- 2025-03-13
- DOI
- https://doi.org/10.3390/axioms14030210
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Princess Nourah Bint Abdulrahman University
- King Khalid University