The compact $3$-manifolds covered by $S^{2}\times R^{1}$
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- by Jeffrey L. Tollefson PDF
- Proc. Amer. Math. Soc. 45 (1974), 461-462 Request permission
Abstract:
The classification of all free actions by a finite group on ${S^2} \times {S^1}$ follows from the observation that there exist only four compact $3$-manifolds which have ${S^2} \times {R^1}$ for a universal covering space.References
- D. B. A. Epstein, Projective planes in $3$-manifolds, Proc. London Math. Soc. (3) 11 (1961), 469โ484. MR 152997, DOI 10.1112/plms/s3-11.1.469
- G. R. Livesay, Fixed point free involutions on the $3$-sphere, Ann. of Math. (2) 72 (1960), 603โ611. MR 116343, DOI 10.2307/1970232
- G. R. Livesay, Involutions with two fixed points on the three-sphere, Ann. of Math. (2) 78 (1963), 582โ593. MR 155323, DOI 10.2307/1970543
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 45 (1974), 461-462
- MSC: Primary 57A10; Secondary 57E25
- DOI: https://doi.org/10.1090/S0002-9939-1974-0346792-6
- MathSciNet review: 0346792