The moduli space of nonnegatively curved metrics on quotients of \(S^2 \times S^3\) by involutions

DOI10.1016/j.difgeo.2022.101938OpenAlexW4293166571WikidataQ114190834 ScholiaQ114190834MaRDI QIDQ2099431

Jonathan Wermelinger, McFeely Jackson Goodman

Publication date: 23 November 2022

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.01189

zbMATH Keywords

universal coverfundamental group \(\mathbb{Z}_2\)

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Spaces of positive scalar curvature metrics on totally nonspin manifolds with spin boundary

Cites Work

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• Nonnegatively curved five-manifolds with non-abelian symmetry
• Free involutions on \(S ^{2} \times S ^{3}\)
• On the moduli space of positive Ricci curvature metrics on homotopy spheres
• On the structure of 5-manifolds
• Classification of cohomogeneity one manifolds in low dimensions
• Contact topology and the structure of 5-manifolds with \(\pi_1={\mathbb Z}_2\)
• Curvature and symmetry of Milnor spheres
• Cheeger manifolds and the classification of biquotients.
• Homogeneous Ricci positive 5-manifolds
• Moduli space of nonnegatively curved metrics on manifolds of dimension \(4k+1\)
• Moduli space of non-negative sectional or positive Ricci curvature metrics on sphere bundles over spheres and their quotients
• On the moduli spaces of metrics with nonnegative sectional curvature
• The classification of compact simply connected biquotients in dimensions 4 and 5
• Nonnegatively curved manifolds with finite fundamental groups admit metrics with positive Ricci curvature
• Constructions in Sasakian geometry
• Beispiele zur Differentialtopologie von Singularitäten
• The index of elliptic operators. III
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• \(O(n)\)-manifolds, exotic spheres, and singularities
• Characteristic Classes and Homogeneous Spaces, I
• Spectral asymmetry and Riemannian Geometry. I
• Spectral asymmetry and Riemannian geometry. II
• Nonconnected moduli spaces of nonnegative sectional curvature metrics on simply connected manifolds
• Moduli space of metrics of nonnegative sectional or positive Ricci curvature on homotopy real projective spaces
• Low-dimensional manifolds with non-negative curvature and maximal symmetry rank
• Lie Groups and Geometric Aspects of Isometric Actions

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