Riemannian Geometry of Contact and Symplectic Manifolds

2010/01/01 by David E. Blair · 8 citations
Mathematics · #Geometry and complex manifolds #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology

paper · doi:10.1007/978-0-8176-4959-3

openalex publication_date 2010/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

Preface * 1. Symplectic Manifolds * 2. Principal S1-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 Kahler 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

Cited by

• A Note on 3-Quasi-Sasakian Geometry
• Warped Product Conformal Kahler Manifolds and Kenmotsu Structures
• Note on the conjecture of D.Blair in contact Riemannian geometry
• Improved Chen-Ricci inequality for curvature-like tensors and its applications
• On the curvature of metric contact pairs
• Warped product contact CR-submanifolds of globally framed f-manifolds with Lorentz metric
• Regularity of C¹ surfaces with prescribed mean curvature in three-dimensional contact sub-Riemannian manifolds
• Variations of gwistor space
• Almost contact manifold [wikipedia]