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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| Language: | English |
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MDPI AG
2025-03-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/14/3/210 |
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| author | Noura M. Alhouiti Ali H. Alkhaldi Akram Ali Fatemah Mofarreh Piscoran Laurian-Ioan |
| author_facet | Noura M. Alhouiti Ali H. Alkhaldi Akram Ali Fatemah Mofarreh Piscoran Laurian-Ioan |
| author_sort | Noura M. Alhouiti |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4515b889cfd141aea074e30d9d9d9ec9 |
| institution | DOAJ |
| issn | 2075-1680 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-4515b889cfd141aea074e30d9d9d9ec92025-08-20T02:42:45ZengMDPI AGAxioms2075-16802025-03-0114321010.3390/axioms14030210Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space FormsNoura M. Alhouiti0Ali H. Alkhaldi1Akram Ali2Fatemah Mofarreh3Piscoran Laurian-Ioan4Department of Basic Sciences, University College of Haqel, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi ArabiaDepartment of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi ArabiaMathematical Science Department, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi ArabiaNorth University Center of Baia Mare, Department of Mathematics and Computer Science, Technical University of Cluj Napoca, Victoriei 76, 430122 Baia Mare, RomaniaThis 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.https://www.mdpi.com/2075-1680/14/3/210Kenmotsu space formhomology groupsstable currentssecond fundamental formpinching theorems |
| spellingShingle | Noura M. Alhouiti Ali H. Alkhaldi Akram Ali Fatemah Mofarreh Piscoran Laurian-Ioan Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space Forms Axioms Kenmotsu space form homology groups stable currents second fundamental form pinching theorems |
| title | Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space Forms |
| title_full | Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space Forms |
| title_fullStr | Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space Forms |
| title_full_unstemmed | Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space Forms |
| title_short | Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space Forms |
| title_sort | trivial homology groups of warped product semi slant submanifolds in kenmotsu space forms |
| topic | Kenmotsu space form homology groups stable currents second fundamental form pinching theorems |
| url | https://www.mdpi.com/2075-1680/14/3/210 |
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