A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds
Here our main objective is to introduce the notion of quasi hemi-slant submanifolds as a generalized case of slant sub-manifolds, semi-slant submanifolds and hemi-slant submanifolds of contact metric manifolds. We mainly focus on quasi hemi-slant sub-manifold of nearly trans-Sasakian manifold. Durin...
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| Language: | English |
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University of Mohaghegh Ardabili
2023-12-01
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| Series: | Journal of Hyperstructures |
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| Online Access: | https://jhs.uma.ac.ir/article_2807_c6e686a269cf456a29b08651f5fdb3b5.pdf |
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| author | Shamsur Rahman Amit Kumar Rai |
| author_facet | Shamsur Rahman Amit Kumar Rai |
| author_sort | Shamsur Rahman |
| collection | DOAJ |
| description | Here our main objective is to introduce the notion of quasi hemi-slant submanifolds as a generalized case of slant sub-manifolds, semi-slant submanifolds and hemi-slant submanifolds of contact metric manifolds. We mainly focus on quasi hemi-slant sub-manifold of nearly trans-Sasakian manifold. During this manner, we tend to study and investigate integrability of distributions which are concerned in the definition of quasi hemi-slant submanifold of nearly trans-Sasakian manifold. Moreover, we tend to get necessary and sufficient conditions for quasi hemi-slant submanifold of nearly trans-Sasakian manifold to be totally geodesic for such manifolds. |
| format | Article |
| id | doaj-art-9a15df3c37a14c128e1fedff0385d03f |
| institution | Kabale University |
| issn | 2251-8436 2322-1666 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | University of Mohaghegh Ardabili |
| record_format | Article |
| series | Journal of Hyperstructures |
| spelling | doaj-art-9a15df3c37a14c128e1fedff0385d03f2025-08-20T03:28:54ZengUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-84362322-16662023-12-0112233635010.22098/jhs.2023.28072807A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifoldsShamsur Rahman0Amit Kumar Rai1Faculty of Mathematics, Maulana Azad National Urdu University, Polytechnic of Campus Darbhanga Bihar- 846002, IndiaGuru Gobind Singh Indraprastha University, University School of Basic and Applied Science New Delhi-110078, IndiaHere our main objective is to introduce the notion of quasi hemi-slant submanifolds as a generalized case of slant sub-manifolds, semi-slant submanifolds and hemi-slant submanifolds of contact metric manifolds. We mainly focus on quasi hemi-slant sub-manifold of nearly trans-Sasakian manifold. During this manner, we tend to study and investigate integrability of distributions which are concerned in the definition of quasi hemi-slant submanifold of nearly trans-Sasakian manifold. Moreover, we tend to get necessary and sufficient conditions for quasi hemi-slant submanifold of nearly trans-Sasakian manifold to be totally geodesic for such manifolds.https://jhs.uma.ac.ir/article_2807_c6e686a269cf456a29b08651f5fdb3b5.pdfquasi-hemi slant submanifoldsnearly trans-sasakian manifoldstotally um-bilical proper quasi-hemi slant submanifolds |
| spellingShingle | Shamsur Rahman Amit Kumar Rai A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds Journal of Hyperstructures quasi-hemi slant submanifolds nearly trans-sasakian manifolds totally um-bilical proper quasi-hemi slant submanifolds |
| title | A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds |
| title_full | A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds |
| title_fullStr | A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds |
| title_full_unstemmed | A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds |
| title_short | A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds |
| title_sort | note on quasi hemi slant submanifolds of nearly trans sasakian manifolds |
| topic | quasi-hemi slant submanifolds nearly trans-sasakian manifolds totally um-bilical proper quasi-hemi slant submanifolds |
| url | https://jhs.uma.ac.ir/article_2807_c6e686a269cf456a29b08651f5fdb3b5.pdf |
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