Reduction of Sasakian manifolds
arXiv:math/9909127
Abstract
We show that the contact reduction can be specialized to Sasakian manifolds. We link this Sasakian reduction to Kähler reduction by considering the Kähler cone over a Sasakian manifold. We present examples of Sasakian manifolds obtained by reduction of standard Sasakian spheres.
ESI preprint 756 (1999)