Non-zero contact and Sasakian reduction

2004/07/26 by Oana Drăgulete, Drăgulete, Oana, Liviu Ornea +1
Mathematics · #53C25 #53D20 #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:53C25 #msc:53D20

paper · pdf · doi:10.48550/arxiv.math/0407434

arxiv created 2004/07/26 · arxiv updated 2009/12/01

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 Kähler (in particular, symplectic) cone. We provide examples obtained by toric actions on Sasakian spheres and make some comments concerning the curvature of the quotients.

Related

• Reduction of Sasakian manifolds
• Sasakian metrics with an additional contact structure
• The cutting construction of toric symplectic and contact manifolds
• Characterization of Sasakian manifolds
• Sasaki structures on general contact manifolds