English

Reduction of Sasakian manifolds

Differential Geometry 2007-05-23 v1

Abstract

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 S1S^1 reduction of standard Sasakian spheres.

Keywords

Cite

@article{arxiv.math/9909127,
  title  = {Reduction of Sasakian manifolds},
  author = {Gueo Grantcharov and Liviu Ornea},
  journal= {arXiv preprint arXiv:math/9909127},
  year   = {2007}
}

Comments

ESI preprint 756 (1999)