THE HOPF CONJECTURE FOR MANIFOLDS WITH ABELIAN GROUP ACTIONS

DOI10.1142/S0219199705001660zbMath1074.53029OpenAlexW2048226447WikidataQ123013684 ScholiaQ123013684MaRDI QIDQ4675927

Xiaole Su, Xiaochun Rong

Publication date: 6 May 2005

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199705001660

zbMATH Keywords

positive sectional curvature\(p\)-group

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (8)

Leaf closures of Riemannian foliations: a survey on topological and geometric aspects of Killing foliations ⋮ Positive curvature, symmetry, and topology ⋮ On the Hopf conjecture with symmetry ⋮ Positive curvature and symmetry in small dimensions ⋮ The Hopf conjecture for positively curved manifolds with discrete Abelian group actions ⋮ Positive curvature and rational ellipticity ⋮ On closed $\delta $-pinched manifolds with discrete abelian group actions ⋮ Positively curved Killing foliations via deformations

Cites Work

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• Positively curved manifolds with maximal symmetry-rank
• On the fundamental groups of manifolds of positive sectional curvature
• Ein Satz über die Wirkungsräume geschlossener Liescher Gruppen
• A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
• The Hopf conjecture for manifolds with low cohomogeneity or high symmetry rank
• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
• Positively curved manifolds with maximal discrete symmetry rank

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