An orbit space of a nonlinear involution of 𝑆²×𝑆² with nonnegative sectional curvature

DOI10.1090/proc/14486zbMath1441.53030arXiv1506.01578OpenAlexW2903605863MaRDI QIDQ5223183

Rafael Torres

Publication date: 17 July 2019

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

Full work available at URL: https://arxiv.org/abs/1506.01578

zbMATH Keywords

4-manifoldnonnegative sectional curvatureGluck twistscut and paste constructionsGrove-Ziller methodPrinciple A

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local Riemannian geometry (53B20)

Related Items (1)

On the double soul conjecture

Cites Work

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• Classification of cohomogeneity one manifolds in low dimensions
• 4-dimensional G-manifolds with 3-dimensional orbits
• Nonnegatively curved metrics on \(S^{2}\times {\mathbb R}^{2}\)
• Rigidity for nonnegatively curved metrics on \(S^2 \times \mathbb R^3\)
• Curvature and symmetry of Milnor spheres
• Cheeger manifolds and the classification of biquotients.
• Biquotients with singly generated rational cohomology
• Some examples of manifolds of nonnegative curvature
• Highly connected \(7\)-manifolds and non-negative sectional curvature
• On the structure of complete manifolds of nonnegative curvature
• Nonnegatively and Positively curved manifolds
• The Embedding of Two-Spheres in the Four-Sphere
• Homotopy Invariants of Nonorientable 4-Manifolds
• Nonorientable 4-Manifolds with Fundamental Group of Order 2
• Nonnegatively and positively curved invariant metrics on circle bundles
• Metric foliations and curvature

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