Quasi hemi Slant Submanifolds of Lorentzian Concircular Structures

PROOF Pub Date : 2024-03-21 DOI:10.37394/232020.2024.4.1
Toukeer Khan, Sheeba Rizvi, O. Bahadır
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Abstract

n 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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洛伦兹环形结构的准半斜子满面
在本手稿中,我们介绍并探讨了准半斜子流形,扩展了洛伦兹协圆结构流形(LCS)n 流形中的斜子流形、半斜子流形和半斜子流形的概念。我们为定义洛伦兹协圆结构流形或(LCS)n 流形内的准半斜子流形的相关分布的可积分性建立了必要和充分条件。此外,我们还研究了洛伦兹协圆结构的准半斜子流形可以完全测地的条件,并分析了由相关分布决定的叶形的几何性质。
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