On Certain 5-manifolds with Fundamental Group of Order 2

Abstract

In this paper, an explicit classification result for certain 5-manifolds with fundamental group Z/2 is obtained. These manifolds include total spaces of circle bundles over simply-connected 4-manifolds.

Remark 3.8 added (v2); some typos fixed. For (v3) corrected the calculations in Section 5 & 6. The classification results are not affected. For (v4) the later sections were re-organized and a new Section 4 added. New details added to the proof of Lemma 4.5

Cited by in corpus (2)

• Free involutions on $S^2\times S^3$
• Contact structures on product five-manifolds and fibre sums along circles