bookProgress in mathematicsJan 1, 2010Closed access

Riemannian Geometry of Contact and Symplectic Manifolds

Michigan State University

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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

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Topics & keywords

Keywords
  • Symplectic geometry
  • Riemannian geometry
  • Geometry
  • Contact geometry
  • Pure mathematics
  • Mathematics
  • Physics
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