Reduction of Sasakian manifolds

Details Reduction of Sasakian manifolds Reduction of Sasakian manifolds

1999-09-22

arxiv.org/abs/math/9909127v1

Mathematics

Differential Geometry

ESI preprint 756 (1999)

Scientific paper

We show that the contact reduction can be specialized to Sasakian manifolds.
We link this Sasakian reduction to K\"ahler reduction by considering the
K\"ahler cone over a Sasakian manifold. We present examples of Sasakian
manifolds obtained by $S^1$ reduction of standard Sasakian spheres.

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