Sasakian Manifolds with Perfect Fundamental Groups
Differential Geometry
2013-09-30 v1 Symplectic Geometry
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--Einstein metrics.
Keywords
Cite
@article{arxiv.1210.2639,
title = {Sasakian Manifolds with Perfect Fundamental Groups},
author = {Charles P. Boyer and Christina W. Tønnesen-Friedman},
journal= {arXiv preprint arXiv:1210.2639},
year = {2013}
}
Comments
23 pages