Curvature analysis of concircular trajectories in doubly warped product manifolds
Copyright policy )Curvature analysis of concircular trajectories in doubly warped product manifolds
<p>The aim of this research paper was to explore the various characteristics of the doubly warped product manifold, focusing particularly on aspects such as the Hessian, Riemannian curvature, Ricci curvature, and concircular curvature tensor components. By examining the necessary conditions that would classify the manifold as Riemann-flat, Ricci-flat, and concircularly-flat, the study aimed to expand our understanding of these concepts. To achieve this, the research incorporated the application of these findings to a generalized Robertson-Walker doubly warped product manifold scenario. This approach allowed us to identify and analyze the specific circumstances under which the manifold displayed concircular flatness.</p>
- King Saud University Saudi Arabia
- Tanta University Egypt
- Taibah University Saudi Arabia
- Saudi Electronic University Saudi Arabia
concircular curvature tensor, ricci tensor, flat manifold, QA1-939, riemann curvature tensor, hessian tensor, doubly warped product manifold, Mathematics
concircular curvature tensor, ricci tensor, flat manifold, QA1-939, riemann curvature tensor, hessian tensor, doubly warped product manifold, Mathematics
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