Work

Application of Differential Equations on the Ricci Curvature of Contact CR-Warped Product Submanifolds of S2n+1(1) with Semi-Symmetric Metric Connection

Year: 2024

Type: article

Abstract: 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.

Source: Symmetry

DOI: 10.3390/sym16111463

Authors: Meraj Ali Khan, Amira A. Ishan, Ibrahim Al-Dayel, Khalid Masood

Institutions: Imam Mohammad ibn Saud Islamic University, Taif University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

Funder: Al-Imam Muhammad Ibn Saud Islamic University