Positively curved 6-manifolds with simple symmetry groups

DOI10.1590/S0001-37652002000400004zbMath1026.53020MaRDI QIDQ4796868

Fu-Quan Fang

Publication date: 12 March 2003

Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)

zbMATH Keywords

isometry grouppositive sectional curvatureeffective isometric \(SU(2)\)-actionisometric \(SO(3)\)-action

Mathematics Subject Classification ID

Group actions and symmetry properties (58D19) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Cites Work

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• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
• A.D. Alexandrov spaces with curvature bounded below
• New Extremal Problems for the Riemannian Recognition Program via Alexandrov Geometry
• Isometry groups of homogeneous spaces with positive sectional curvature

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