Low-dimensional manifolds with non-negative curvature and maximal symmetry rank

DOI10.1090/S0002-9939-2010-10655-XzbMath1220.53044arXiv1207.6173OpenAlexW2051173983MaRDI QIDQ5200181

Fernando Galaz-García, Catherine Searle

Publication date: 1 August 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6173

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Global Riemannian geometry, including pinching (53C20)

Related Items (16)

Local symmetry rank bound for positive intermediate Ricci curvatures ⋮ Cohomogeneity-two torus actions on non-negatively curved manifolds of low dimension ⋮ Torus actions on Alexandrov 4-spaces ⋮ Singular Riemannian foliations and applications to positive and non-negative curvature: Figure 1. ⋮ Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions ⋮ A panoramic glimpse of manifolds with sectional curvature bounded from below ⋮ The toral rank conjecture and variants of equivariant formality ⋮ Non-negatively curved 6-manifolds with almost maximal symmetry rank ⋮ Torus actions on rationally elliptic manifolds ⋮ The classification of compact simply connected biquotients in dimensions 4 and 5 ⋮ Nonnegatively curved 5-manifolds with almost maximal symmetry rank ⋮ Torus actions, maximality, and non-negative curvature ⋮ Non-negatively curved GKM orbifolds ⋮ Torus manifolds and non-negative curvature ⋮ The moduli space of nonnegatively curved metrics on quotients of \(S^2 \times S^3\) by involutions ⋮ A Note on Maximal Symmetry Rank, Quasipositive Curvature, and Low Dimensional Manifolds

Cites Work

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• Toral Actions on 5-Manifolds
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