{"ID":22994684,"CreatedAt":"2026-09-17T04:01:24.020413181Z","UpdatedAt":"2026-09-17T04:01:24.020413181Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2609.19110","arxiv_id":"2609.19110","title":"Maximal symmetry rank and almost non-negative curvature in low dimensions","abstract":"We establish an upper bound for the symmetry rank of closed, simply connected, almost non-negatively curved manifolds of dimension 4 through 9 and in the case of maximal symmetry rank provide an equivariant diffeomorphism classification of this class of manifolds in dimensions 4, 5, and 6.","short_abstract":"We establish an upper bound for the symmetry rank of closed, simply connected, almost non-negatively curved manifolds of dimension 4 through 9 and in the case of maximal symmetry rank provide an equivariant diffeomorphism classification of this class of manifolds in dimensions 4, 5, and 6.","url_abs":"https://arxiv.org/abs/2609.19110","url_pdf":"https://arxiv.org/pdf/2609.19110v1","authors":"[\"Samuel Bartel\"]","published":"2026-09-16T17:39:26Z","proceeding":"math.DG","tasks":"[\"math.DG\"]","methods":"[]","has_code":false}