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 $\geq 3$. These have extremal Sasaki metrics with constant scalar curvature. Moreover, we present further examples of both Sasaki-Einstein and Sasaki$\eta$Einstein metrics.
Citation
C. P. Boyer. C. W. Tønnesen-Friedman. "Sasakian Manifolds with Perfect Fundamental Groups." Afr. Diaspora J. Math. (N.S.) 14 (2) 98 - 117, 2012.
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