Non-zero contact and Sasakian reduction
微分几何
2007-05-23 v1 辛几何
摘要
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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引用
@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}
}