Boothby-Wang fibrations on complex contact manifolds

摘要

Since the Boothby-Wang fibrations form an important class of real (strict) contact manifolds, we endeavor to find a similar type of fibration for complex contact manifolds. We use the dual symplectic structures found on complex-symplectic manifolds, in order to generate two related yet distinct Boothby-Wang fibrations. Then we show that the "Whitney Sum" of these S~1-bundles is the object we are looking for. Examples follow.