On the fundamental groups of compact Sasakian manifolds

Xiaoyang Chen

On the fundamental groups of compact Sasakian manifolds

Geometric Topology 2011-10-13 v1

Authors: Xiaoyang Chen

Abstract

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.

Keywords

fundamental groups compact Sasakian manifolds Sasaki groups Kähler groups Abel-Jacobi map

Cite

@article{arxiv.1110.2668,
  title  = {On the fundamental groups of compact Sasakian manifolds},
  author = {Xiaoyang Chen},
  journal= {arXiv preprint arXiv:1110.2668},
  year   = {2011}
}

Comments

18 pages

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