Because the Riemannian product of manifolds cannot have negative curvature, the concept of warped product manifolds arose. On the grounds that warped product manifolds have a number of applications in physics and the theory of relativity, this has been a topic of extensive research.

Warped products provide the basic solutions of Einstein field equations. In addition, the Schwarzschild space time is an example of warped product manifolds. The theory of warped product submanifolds represents an important field in differential geometry and it has several applications. The Ricci curvature of these submanifolds is more significant in the theory of relativity and physics. The gradient Ricci solitons are extensively studied in relativity theory, physics, and differential geometry.

This Special Issue aims to collate original research and review articles related to the study of warped product manifolds and their applications.

Potential topics include but are not limited to the following:

• Warped product manifolds
• Ricci curvature, Ricci solitons
• Geometry of submanifolds and its applications
• Tensor analysis
• Submersions from almost Hermitian and almost contact metric manifolds
• Physical cosmology
• Geodesic and harmonic maps
• Conformal geometry