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Reduction of Sasakian manifolds

Gueo Grantcharov·Liviu Ornea
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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 $S^1$ reduction of standard Sasakian spheres.

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Gueo Grantcharov, Liviu Ornea. 1999-09-22. Reduction of Sasakian manifolds. https://arxiv.org/abs/math/9909127

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