Pinching Results for Doubly Warped Products’ Pointwise Bi-Slant Submanifolds in Locally Conformal Almost Cosymplectic Manifolds with a Quarter-Symmetric Connection
Md Aquib,
Ibrahim Al-Dayel,
Mohd Aslam,
Meraj Ali Khan,
Mohammad Shuaib
Affiliations
Md Aquib
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box-65892, Riyadh 11566, Saudi Arabia
Ibrahim Al-Dayel
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box-65892, Riyadh 11566, Saudi Arabia
Mohd Aslam
Department of Computer Science and Information Technology, School of Technology, Maulana Azad National Urdu University Gachibowli, Hyderabad 500032, Telangana, India
Meraj Ali Khan
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box-65892, Riyadh 11566, Saudi Arabia
Mohammad Shuaib
Department of Mathematics, Lovely Professional University, Phagwara 144001, Punjab, India
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.
