Non-negatively curved 5-manifolds with almost maximal symmetry rank

2011/11/14 by Fernando Galaz-Garcia, Catherine Searle
Mathematics · #math.DG #msc:53C20

paper · pdf · doi:10.2140/gt.2014.18.1397

published as Geom. Topol. 18 (2014) 1397-1435 · We fix an omission in a previous posting (arXiv:0906.3870v1 [math.DG])

arxiv created 2011/11/14 · arxiv updated 2014/11/11

Abstract

We show that a closed, simply-connected, non-negatively curved 5-manifold admitting an effective, isometric T² action is diffeomorphic to one of S⁵, S³× S², S³× S² (the non-trivial S³-bundle over S²) or the Wu manifold SU(3)/SO(3).

Citations

• Non-negatively Curved Manifolds with Maximal Symmetry Rank in Low Dimensions