3-manifolds which admit finite group actions

Wang, Shi Cheng

doi:10.1090/S0002-9947-1993-1169084-0

$3$-manifolds which admit finite group actions
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by Shi Cheng Wang

Trans. Amer. Math. Soc. 339 (1993), 191-203

DOI: https://doi.org/10.1090/S0002-9947-1993-1169084-0

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Abstract:

We prove several results which support the following conjectures: $(1)$ Any smooth action of a finite group on a geometric $3$-manifold can be conjugated to preserve the geometric structure. $(2)$ Every irreducible closed $3$-manifold $M$ with infinite ${\pi _1}(M)$ is finitely covered by a Haken $3$-manifold.

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Geometry and topology on

manifolds

Three-manifolds with symmetry

Several results in

and

manifolds

The virtual

representibility of

manifolds which admit orientation reversing involution

110