A note on quasi-hemi slant submanifolds of nearly trans-Sasakian manifolds

Document Type : Research Paper

Authors

1 Faculty of Mathematics, Maulana Azad National Urdu University, Polytechnic of Campus Darbhanga Bihar- 846002, India

2 Guru Gobind Singh Indraprastha University, University School of Basic and Applied Science New Delhi-110078, India

Abstract

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.

Keywords

References

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Journal of Hyperstructures
Volume 12, Issue 2
2023
Pages 336-350

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