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

Publish Year: 1402
Type: Journal paper
Language: English
View: 119

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Document National Code:

JR_JHSMS-12-2_009

Index date: 5 February 2024

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

Here our main objective is to introduce the notion of quasi hemi-slant submanifolds as a generalized case of slant submanifolds, semi-slant submanifolds and hemi-slant submanifolds of contact metric manifolds. We mainly focus on quasi hemi-slant submanifold of nearly trans-Sasakian manifold. During this manner, we tend to study and investigate integrability of distributions which are concerned in the de nition of quasi hemi-slant submanifold of nearly trans-Sasakian manifold. Moreover, we tend to get necessary and sucient conditions for quasi hemi-slant submanifold of nearly trans-Sasakian manifold to be totally geodesic for such manifolds.

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

Quasi-hemi slant submanifolds , nearly trans-Sasakian manifolds , totally um- bilical proper quasi-hemi slant submanifolds

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

Shamsur Rahman

Faculty of Mathematics, Maulana Azad National Urdu University, Polytechnic of Campus Darbhanga Bihar- ۸۴۶۰۰۲, India

Amit Kumar Rai

Guru Gobind Singh Indraprastha University, University School of Basic and Applied Science New Delhi-۱۱۰۰۷۸, India