Principal S1-bundles

  • David E. Blair
Part of the Progress in Mathematics book series (PM, volume 203)


A very important theorem in the geometry of contact manifolds, and the start of the modern theory, is the Boothby–Wang theorem, which states that a compact regular contact manifold is a principal circle bundle over a symplectic manifold of integral class. We will prove this result in Section 3.3. In preparation for this we review principal circle bundles in this chapter.


Short Exact Sequence Symplectic Manifold Principal Bundle Connection Form Contact Manifold 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of MathematicsMichigan State UniversityEast LansingUSA

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