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

Autor:	Ali H. Hakami, Mohd Danish Siddiqi, Oǧuzhan Bahadir, Toukeer Khan
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	trans-Sasakian manifold quasi-hemi-slant submanifold totally geodesic integrability Pontryagin number Mathematics QA1-939
Zdroj:	Symmetry, Vol 15, Iss 6, p 1270 (2023)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym15061270
Popis:	In this study, the authors focus on quasi-hemi-slant submanifolds (qhs-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.
Databáze:	Directory of Open Access Journals
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