Geodesic
Period three actions on the three-sphere
Maher, Joseph1 ; Rubinstein, J Hyam2
1 Mathematics 253-37, California Institute of Technology, Pasadena, California 91125, USA
2 Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria 3010, Australia
Geometry & topology, Tome 7 (2003) no. 1, pp. 329-397.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We show that a free period three action on the three-sphere is standard, ie, the quotient is homeomorphic to a lens space. We use a minimax argument involving sweepouts.

DOI : 10.2140/gt.2003.7.329
Keywords: 3–manifold, 3–sphere, group action, spherical 3–manifold, lens space

Maher, Joseph 1 ; Rubinstein, J Hyam 2

1 Mathematics 253-37, California Institute of Technology, Pasadena, California 91125, USA
2 Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria 3010, Australia 
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Maher, Joseph; Rubinstein, J Hyam. Period three actions on the three-sphere. Geometry & topology, Tome 7 (2003) no. 1, pp. 329-397. doi : 10.2140/gt.2003.7.329. http://geodesic.mathdoc.fr/articles/10.2140/gt.2003.7.329/

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