Non-zero contact and Sasakian reduction
Differential Geometry
2007-05-23 v1 Symplectic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.math/0407434,
title = {Non-zero contact and Sasakian reduction},
author = {Oana Drăgulete and Liviu Ornea},
journal= {arXiv preprint arXiv:math/0407434},
year = {2007}
}