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A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds | ||
| Journal of Hyperstructures | ||
| دوره 12، شماره 2، 2023، صفحه 336-350 اصل مقاله (280.42 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2023.2807 | ||
| نویسندگان | ||
| Shamsur Rahman* 1؛ Amit Kumar Rai2 | ||
| 1Faculty of Mathematics, Maulana Azad National Urdu University, Polytechnic of Campus Darbhanga Bihar- 846002, India | ||
| 2Guru Gobind Singh Indraprastha University, University School of Basic and Applied Science New Delhi-110078, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Quasi-hemi slant submanifolds؛ nearly trans-Sasakian manifolds؛ totally um-bilical proper quasi-hemi slant submanifolds | ||
| مراجع | ||
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