Riemannian geometry and its generalization were utilized by Einstein to establish the general theory of relativity and have a wide range of applications in different branches of science and engineering. Recent studies have shown that Riemannian manifolds have several applications in mathematics and theoretical physics, for example, it has been proven that an (LCS)n- manifold coincides with generalized Robertson-Walker space time.

The geometry of semi-Riemannian submersions has risen in popularity in recent geometric evaluations due to its involvement in mathematical physics and the general theory of relativity, such as Yang-Mills theory, string theory, and Kaluza-Klein theory. The theory of Riemannian submersion using different structures is a great opportunity to study spaces with symmetries. We believe that this theory can be directly applied to the study of black holes of various dimensions, Lagrangian field theory with symmetries, differentiable manifolds having different structures, and simple quantum systems with symmetrical properties.

The purpose of this Special Issue is to bring together original research and review papers that emphasize current developments in the area of Riemannian submersions. We hope that this Special Issue will serve as a forum for describing the ongoing efforts to comprehend this field of research.

Potential topics include but are not limited to the following:

• Almost Hermitian Submersions
• Warped Product Submersions
• Riemannian submersions and Einstein spaces
• Riemannian submersions and contact metric manifolds
• Semi-Riemannian submersions
• Applications of Riemannian submersions in physics
• Geometry of submanifolds and Riemannian submersions
• Riemannian maps
• Conformal geometry