Free circle actions on $(n-1)$-connected $(2n+1)$-manifolds

Abstract

In this paper, we determine those $(n-1)$-connected $(2n+1)$-manifolds with torsion free homology that admit free circle actions up to almost diffeomorphism, provided that $n\equiv 5,7\mathrm{mod}8$.

8 pages

References in corpus (3)

• The classification of 2-connected 7-manifolds
• Regular Circle Actions on 2-connected 7-manifolds
• Free torus actions and twisted suspensions