Riemannian submersions and related topics - Falcitelli, Maria (World Scientific, 2004)
Includes bibliographical references (pages 257-274) and index
Riemannian Submersions and Related Topics; Preface; Contents; 1. Riemannian Submersions; 2. Submersions with Totally Geodesic Fibres; 3. Almost Hermitian Submersions; 4. Riemannian Submersions and Contact Metric Manifolds; 5. Einstein Spaces and Riemannian Submersions; 6. Riemannian Submersions and Submanifolds; 7. Semi-Riemannian Submersions; 8. Applications of Riemannian Submersions in Physics; Bibliography; Index
This book provides the first-ever systematic introduction to thetheory of Riemannian submersions, which was initiated by BarrettO'Neill and Alfred Gray less than four decades ago. The authorsfocus their attention on classification theorems when the total spaceand the fibres have nice geometric properties