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Print ISSN: 2944-9162, E-ISSN: 2732-9941 An Open Access International Journal of Applied Science and Engineering
Volume 4, 2024
Quasi hemi Slant Submanifolds of Lorentzian Concircular Structures
Authors: , ,
Abstract: In this manuscript, we introduce and explore quasi hemi-slant submanifolds, extending the concepts of slant submanifolds, semi-slant submanifolds, and hemi-slant submanifolds within Lorentzian concircular structures- manifolds (LCS)n -manifolds. We establish necessary and sufficient conditions for the integrability of distributions relevant to defining quasi hemi-slant submanifolds within Lorentzian concircular structuresmanifolds or (LCS)n- manifolds. Additionally, we investigate the conditions under which quasi hemi-slant submanifolds of Lorentzian concircular structures can be totally geodesic and analyze the geometric properties of foliations determined by the associated distribution.
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Keywords: Quasi hemi-slant submanifolds, Lorentzian concircular structures – manifolds or (LCS)n -
manifolds, totally geodesic, Lorentzian manifold, Submanifold theory, Almost contact metric
manifold
Pages: 1-10
DOI: 10.37394/232020.2024.4.1