Period three actions on the three-sphere

Abstract

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

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol7/paper11.abs.html

Cited by in corpus (5)

• Triangulated Manifolds with Few Vertices: Geometric 3-Manifolds
• Heegaard gradient and virtual fibers
• 3-Manifolds admitting toric integrable geodesic flows
• Detecting surface bundles in finite covers of hyperbolic closed 3-manifolds
• Period three actions on lens spaces