On the fundamental groups of compact Sasakian manifolds

Details On the fundamental groups of compact Sasakian manifolds On the fundamental groups of compact Sasakian manifolds

2011-10-12

arxiv.org/abs/1110.2668v1

Mathematics

Geometric Topology

18 pages

Scientific paper

We study the fundamental groups of compact Sasakian manifolds, which we call Sasaki groups. It is shown that all known K$\ddot{a}$hler groups are Sasaki, in particular, all finite groups are Sasaki. On the other hand, we show there exists many restrictions on the fundamental groups of compact Sasakian manifolds. We also study the Abel-Jacobi map of a compact Sasakian manifold and its applications to Sasaki groups.

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