Application of Differential Equations on the Ricci Curvature of Contact CR-Warped Product Submanifolds of <i>S</i><sup>2<i>n</i>+1</sup>(1) with Semi-Symmetric Metric Connection
Meraj Ali Khan,
Amira A. Ishan,
Ibrahim Al-Dayel,
Khalid Masood
Affiliations
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
Amira A. Ishan
Department of Mathematics, College of Science, Taif University, Taif 21944, 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
Khalid Masood
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 65892, Riyadh 11566, Saudi Arabia
In this paper, we explore the uses of Obata’s differential equation in relation to the Ricci curvature of an odd-dimensional sphere that possesses a semi-symmetric metric connection. Specifically, we establish that, given certain conditions, the underlying submanifold can be identified as an isometric sphere. Additionally, we investigate the impact of specific differential equations on these submanifolds and demonstrate that, when certain geometric conditions are met, the base submanifold can be characterized as a special type of warped product.
