Aspects of Submanifolds on (α , β)-Type Almost Contact Manifolds with Quasi-Hemi-Slant Factor.

Autor:	Hakami, Ali H., Siddiqi, Mohd Danish, Bahadir, Oǧuzhan, Khan, Toukeer
Předmět:	SUBMANIFOLDS NUMBER theory GEODESICS
Zdroj:	Symmetry (20738994); Jun2023, Vol. 15 Issue 6, p1270, 18p
Abstrakt:	In this study, the authors focus on quasi-hemi-slant submanifolds ( q h s -submanifolds) of (α , β) -type almost contact manifolds, also known as trans-Sasakian manifolds. Essentially, we give sufficient and necessary conditions for the integrability of distributions using the concept of quasi-hemi-slant submanifolds of trans-Sasakian manifolds. We also consider the geometry of foliations dictated by the distribution and the requirements for submanifolds of trans-Sasakian manifolds with quasi-hemi-slant factors to be totally geodesic. Lastly, we give an illustration of a submanifold with a quasi-hemi-slant factor and discuss its application to number theory. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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