Nonnegatively curved five-manifolds with non-abelian symmetry

DOI10.1007/s10711-015-0112-6zbMath1344.53030arXiv1212.5022OpenAlexW1940419506MaRDI QIDQ280120

Fabio Simas

Publication date: 29 April 2016

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.5022

zbMATH Keywords

group actionscompact manifoldsnonnegative curvaturepositive curvature\(\mathrm{SO}(3)\)\(\mathrm{SU}(2)\)classification of group actionsfive-dimensional manifoldslow dimensionsnon-abelian symmetrysimply-connected manifolds

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Positive curvature and symmetry in small dimensions ⋮ The classification of compact simply connected biquotients in dimensions 4 and 5 ⋮ Low dimensional polar actions ⋮ The moduli space of nonnegatively curved metrics on quotients of \(S^2 \times S^3\) by involutions

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