Abstract
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.
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Blair, D.E. (2010). Principal S 1-bundles. In: Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics, vol 203. Birkhäuser, Boston. https://doi.org/10.1007/978-0-8176-4959-3_2
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DOI: https://doi.org/10.1007/978-0-8176-4959-3_2
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Publisher Name: Birkhäuser, Boston
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Online ISBN: 978-0-8176-4959-3
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