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

Fernando Galaz-Garcia; Catherine Searle

doi:10.2140/gt.2014.18.1397

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

Differential Geometry 2014-11-11 v1

Authors: Fernando Galaz-Garcia , Catherine Searle

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Abstract

We show that a closed, simply-connected, non-negatively curved 5-manifold admitting an effective, isometric $T^2$ action is diffeomorphic to one of $S^5$ , $S^3\times S^2$ , $S^3\tilde{\times} S^2$ (the non-trivial $S^3$ -bundle over $S^2$ ) or the Wu manifold $SU(3)/SO(3)$ .

Keywords

non-negatively curved 5-manifolds maximal symmetry rank isometric action diffeomorphism classification

Cite

@article{arxiv.1111.3183,
  title  = {Non-negatively curved 5-manifolds with almost maximal symmetry rank},
  author = {Fernando Galaz-Garcia and Catherine Searle},
  journal= {arXiv preprint arXiv:1111.3183},
  year   = {2014}
}

Comments

We fix an omission in a previous posting (arXiv:0906.3870v1 [math.DG])

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