Free involutions on $S^2\times S^3$

Abstract

In this paper, we classify smooth 5-manifolds with fundamental group isomorphic to $\z/2$ and universal cover diffeomorphic to $S^2\times S^3$. This gives a classification of smooth free involutions on $S^2\times S^3$ up to conjugation.

17 pages. A mistake in the statement of Theorem 1.1 is corrected. A new free involution is constructed via surgery

References in corpus (2)

• On Certain 5-manifolds with Fundamental Group of Order 2
• Free involutions on S^1xS^n

Cited by in corpus (1)

• A note on the ${\mathbb{Z}}_2$-equivariant Montgomery-Yang correspondence