Sasakian Manifolds with Perfect Fundamental Groups

Abstract

Using the Sasakian join construction with homology 3-spheres, we give a countably infinite number of examples of Sasakian manifolds with perfect fundamental group in all odd dimensions greater than 1. These have extremal Sasaki metrics with constant scalar curvature. Moreover, we present further examples of both Sasaki-Einstein and Sasaki-$\eta$-Einstein metrics.

23 pages

References in corpus (3)

• Canonical Sasakian Metrics
• On finite groups acting on spheres and finite subgroups of orthogonal groups
• On the fundamental groups of compact Sasakian manifolds