Contact CR-Warped Product Submanifold of a Sasakian Space Form with a Semi-Symmetric Metric Connection

The main goal of this research paper is to investigate contact CR-warped product submanifolds within Sasakian space forms, utilizing a semi-symmetric metric connection. We conduct a comprehensive analysis of these submanifolds and establish several significant results. Additionally, we formulate an...

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Bibliographic Details
Published inSymmetry (Basel) Vol. 16; no. 2; p. 190
Main Authors Khan, Meraj Ali, Al-Dayel, Ibrahim, Aloui, Foued, Hui, Shyamal Kumar
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.02.2024
Subjects
Approximation
contact CR
Euclidean space
Geometry
Manifolds (mathematics)
R&D
Research & development
Sasakian manifolds
semi-symmetric
Topological manifolds
warped product manifolds
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Summary:The main goal of this research paper is to investigate contact CR-warped product submanifolds within Sasakian space forms, utilizing a semi-symmetric metric connection. We conduct a comprehensive analysis of these submanifolds and establish several significant results. Additionally, we formulate an inequality that establishes a relationship between the squared norm of the second fundamental form and the warping function. Lastly, we present a number of geometric applications derived from our findings.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym16020190