Impact of Semi-Symmetric Metric Connection on Homology of Warped Product Pointwise Semi-Slant Submanifolds of an Odd-Dimensional Sphere
Our paper explores warped product pointwise semi-slant submanifolds with a semi-symmetric metric connection in an odd-dimensional sphere and uncovers fundamental results. We also demonstrate how our findings can be applied to the homology of these submanifolds. Notably, we prove that under a specifi...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-08-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/15/8/1606 |
| _version_ | 1797583166008983552 |
|---|---|
| author | Ibrahim Al-Dayel Meraj Ali Khan |
| author_facet | Ibrahim Al-Dayel Meraj Ali Khan |
| author_sort | Ibrahim Al-Dayel |
| collection | DOAJ |
| description | Our paper explores warped product pointwise semi-slant submanifolds with a semi-symmetric metric connection in an odd-dimensional sphere and uncovers fundamental results. We also demonstrate how our findings can be applied to the homology of these submanifolds. Notably, we prove that under a specific condition, there are no stable currents for these submanifolds. This work adds valuable insights into the stability and behavior of warped product pointwise semi-slant submanifolds and sets the foundation for further research in this field. |
| first_indexed | 2024-03-10T23:33:02Z |
| format | Article |
| id | doaj.art-cf0e3cabacb840bfacb0995eefe64363 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T23:33:02Z |
| publishDate | 2023-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-cf0e3cabacb840bfacb0995eefe643632023-11-19T03:12:09ZengMDPI AGSymmetry2073-89942023-08-01158160610.3390/sym15081606Impact of Semi-Symmetric Metric Connection on Homology of Warped Product Pointwise Semi-Slant Submanifolds of an Odd-Dimensional SphereIbrahim Al-Dayel0Meraj Ali Khan1Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 65892, Riyadh 11566, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 65892, Riyadh 11566, Saudi ArabiaOur paper explores warped product pointwise semi-slant submanifolds with a semi-symmetric metric connection in an odd-dimensional sphere and uncovers fundamental results. We also demonstrate how our findings can be applied to the homology of these submanifolds. Notably, we prove that under a specific condition, there are no stable currents for these submanifolds. This work adds valuable insights into the stability and behavior of warped product pointwise semi-slant submanifolds and sets the foundation for further research in this field.https://www.mdpi.com/2073-8994/15/8/1606semi-invariantwarped product manifoldssemi-symmetricSasakian manifoldsstable-currents |
| spellingShingle | Ibrahim Al-Dayel Meraj Ali Khan Impact of Semi-Symmetric Metric Connection on Homology of Warped Product Pointwise Semi-Slant Submanifolds of an Odd-Dimensional Sphere Symmetry semi-invariant warped product manifolds semi-symmetric Sasakian manifolds stable-currents |
| title | Impact of Semi-Symmetric Metric Connection on Homology of Warped Product Pointwise Semi-Slant Submanifolds of an Odd-Dimensional Sphere |
| title_full | Impact of Semi-Symmetric Metric Connection on Homology of Warped Product Pointwise Semi-Slant Submanifolds of an Odd-Dimensional Sphere |
| title_fullStr | Impact of Semi-Symmetric Metric Connection on Homology of Warped Product Pointwise Semi-Slant Submanifolds of an Odd-Dimensional Sphere |
| title_full_unstemmed | Impact of Semi-Symmetric Metric Connection on Homology of Warped Product Pointwise Semi-Slant Submanifolds of an Odd-Dimensional Sphere |
| title_short | Impact of Semi-Symmetric Metric Connection on Homology of Warped Product Pointwise Semi-Slant Submanifolds of an Odd-Dimensional Sphere |
| title_sort | impact of semi symmetric metric connection on homology of warped product pointwise semi slant submanifolds of an odd dimensional sphere |
| topic | semi-invariant warped product manifolds semi-symmetric Sasakian manifolds stable-currents |
| url | https://www.mdpi.com/2073-8994/15/8/1606 |
| work_keys_str_mv | AT ibrahimaldayel impactofsemisymmetricmetricconnectiononhomologyofwarpedproductpointwisesemislantsubmanifoldsofanodddimensionalsphere AT merajalikhan impactofsemisymmetricmetricconnectiononhomologyofwarpedproductpointwisesemislantsubmanifoldsofanodddimensionalsphere |