Riemannian Geometry of Contact and Symplectic Manifolds

• Main Author: Blair, David E. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2010.
• Series: Progress in Mathematics ; 203
• Subjects: Mathematics.; Global differential geometry.; Cell aggregation > Mathematics.; Differential Geometry.; Manifolds and Cell Complexes (incl. Diff.Topology).
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4959-3

This second edition, divided into fourteen chapters, presents a comprehensive treatment of contact and symplectic manifolds from the Riemannian point of view. The monograph examines the basic ideas in detail and provides many illustrative examples for the reader. Riemannian Geometry of Contact and S...

Table of Contents:

• Preface
• 1. Symplectic Manifolds
• 2. Principal bundles
• 3. Contact Manifolds
• 4. Associated Metrics
• 5. Integral Submanifolds and Contact Transformations
• 6. Sasakian and Cosymplectic Manifolds
• 7. Curvature of Contact Metric Manifolds
• 8. Submanifolds of Kähler and Sasakian Manifolds
• 9. Tangent Bundles and Tangent Sphere Bundles
• 10. Curvature Functionals and Spaces of Associated Metrics
• 11. Negative Xi-sectional Curvature
• 12. Complex Contact Manifolds
• 13. Additional Topics in Complex Geometry
• 14. 3-Sasakian Manifolds
• Bibliography
• Subject Index
• Author Index.