Non-zero contact and Sasakian reduction

Details Non-zero contact and Sasakian reduction Non-zero contact and Sasakian reduction

2004-07-26

arxiv.org/abs/math/0407434v1

Mathematics

Differential Geometry

Scientific paper

We complete the reduction of Sasakian manifolds with the non-zero case by showing that Willett's contact reduced space is compatible with the Sasakian structure. We then prove the compatibility of the non-zero Sasakian (in particular, contact) reduction with the reduction of the K\"ahler (in particular, symplectic) cone. We provide examples obtained by toric actions on Sasakian spheres and make some comments concerning the curvature of the quotients.

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