Pinching Results for Doubly Warped Products’ Pointwise Bi-Slant Submanifolds in Locally Conformal Almost Cosymplectic Manifolds with a Quarter-Symmetric Connection

In this research paper, we establish geometric inequalities that characterize the relationship between the squared mean curvature and the warping functions of a doubly warped product pointwise bi-slant submanifold. Our investigation takes place in the context of locally conformal almost cosymplectic...

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Bibliographic Details
Published in:Symmetry (Basel) 2024-05, Vol.16 (5), p.521
Main Authors: Aquib, Md, Al-Dayel, Ibrahim, Aslam, Mohd, Khan, Meraj Ali, Shuaib, Mohammad
Format: Article
Language:English
Subjects:
doubly warped product
Inequalities
locally conformal almost cosymplectic manifolds
Manifolds (mathematics)
Mathematical functions
pointwise bi-slant submanifolds
quarter-symmetric metric connection
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Summary:In this research paper, we establish geometric inequalities that characterize the relationship between the squared mean curvature and the warping functions of a doubly warped product pointwise bi-slant submanifold. Our investigation takes place in the context of locally conformal almost cosymplectic manifolds, which are equipped with a quarter-symmetric metric connection. We also consider the cases of equality in these inequalities. Additionally, we derive some geometric applications of our obtained results.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym16050521