The Hopf conjecture for manifolds with low cohomogeneity or high symmetry rank

DOI10.1090/S0002-9939-01-06039-7zbMath0994.53020arXiv1207.4086WikidataQ123136332 ScholiaQ123136332MaRDI QIDQ2750900

Catherine Searle, Thomas Püttmann

Publication date: 21 October 2001

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

Full work available at URL: https://arxiv.org/abs/1207.4086

zbMATH Keywords

Euler characteristicsectional curvatureeven dimensional compact manifold

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 ⋮ The Hopf conjecture for positively curved manifolds with discrete Abelian group actions ⋮ Positive curvature and rational ellipticity ⋮ THE HOPF CONJECTURE FOR MANIFOLDS WITH ABELIAN GROUP ACTIONS ⋮ Homeomorphism classification of positively curved manifolds with almost maximal symmetry rank ⋮ Positively curved Killing foliations via deformations

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• A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
• Positive Sectional Curvatures Does not Imply Positive Gauss-Bonnet Integrand
• The Gauss-Bonnet Theorem for Riemannian Polyhedra

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