Mathematical Research Letters
Volume 20 (2013)
On the fundamental groups of compact Sasakian manifolds
Pages: 27 – 39
We study the fundamental groups of compact Sasakian manifolds, which we call Sasaki groups. It is shown that the fundamental group of any compact Hodge manifold is Sasaki. In particular, all finite groups are Sasaki. On the other hand, we show that there exist many restrictions on Sasaki groups. We also study the Abel–Jacobi map of a compact Sasakian manifold and its applications to Sasaki groups.