Boothby-Wang fibrations on complex contact manifolds (Q1591526)

The Boothby-Wang fibrations form an important class of real contact manifolds [e.g. \textit{D.~E.~Blair}, Contact manifolds in Riemannian geometry, Lect. Notes Math. 509 (1976; Zbl 0319.53026)]. The author constructs a similar type of fibration for complex contact manifolds. He gives the dual symplectic structures on complex symplectic manifolds and generates two related distinct Boothby-Wang fibrations. Then the ``Whitney sum'' of these \(S^1\)-bundles gives the desired fibration. Examples are also established.