On Smooth Closed 3-manifolds with Finite Fundamental Groups

Details On Smooth Closed 3-manifolds with Finite Fundamental Groups On Smooth Closed 3-manifolds with Finite Fundamental Groups

2011-03-15

arxiv.org/abs/1103.2824v1

Mathematics

Geometric Topology

Scientific paper

In this paper, we prove a geometrization conjecture, every orientable smooth
closed 3-manifold with finite fundamental group is homeomorphic to $S^3/G$ for
some finite cyclic subgroup $G\subset {Isom}^+(S^3)$.

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