Riemannian Submersions and related Topics

Riemannian Submersions. The Hopf Fibration. Fundamental Tensors and Fundamental Equations. Geodesics and O’Neill Theorem. Clairaut Submersions. Submersions with Totally Geodesic Fibres. Riemannian Submersions Erom the Spheres. The Uniqueness Theorem. Submersions from the Complex Projective Spaces. Almost Hermitian Submersions. Holomorphic Distributions in Kahler Submersions. Curvature Properties. Locally Conformal Kaehler Submersions. Submersions from Generalized Hopf Manifolds. Almost Complex Conformal Submersions. Riemannian Submersions and Contact Metric Manifolds. Contact Riemannian Submersions. Contact-complex Riemannian Submersions. Complex-contact Riemannian Submersions. Curvature Properties. Riemannian Submersions Involving Quaternionic Kaehler and 3-Sasakian Manifolds. Regular f-structures and Riemannian Submersions. Einstein Spaces and Riemannian Submersions. Einstein Metrics on the Total Space of a Riemannian Submersion. Homogeneous Einstein Spaces. Einstein Metrics on Principal Bundles. Einstein Weyl Structures on Principal Bundles. Einstein Weyl Structures on Hermitian and Sasakian Manifolds. Riemannian Submersions and Submanifolds. Submersions of CR-submanifolds. Links Between Submanifolds of Sasakian and Kaehler Manifolds. Riemannian Submersions and Isometric Reflections with Respect to the Fibres. Semi-Riemannian Submersions. Examples. Lorentzian Submersions. Submersions from Pseudo-hyperbolic Spaces. Submersions with Totally Umbilical Fibres. Semi-Riemannian Submersions with Minimal Fibres. Applications of Riemannian Submersions in Physics. Gauge Fields. Instantons and Riemannian Submersions. Einstein Equations and Kaluza-Klein Ansatz. Generalized Nonlinear Sigma Model in Curved Space. Horizontally Conformal Submersions and Gravity. The Dirac Monopole and the Hopf Map. Kaluza-Klein Monopole and Taub-NUT Instanton.