Metrics of positive Ricci curvature on the connected sums of products with arbitrarily many spheres

DOI10.1007/s10455-020-09732-7zbMath1467.53038arXiv1811.11906OpenAlexW3086721054MaRDI QIDQ2212343

Bradley Lewis Burdick

Publication date: 20 November 2020

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.11906

zbMATH Keywords

positive Ricci curvatureconnected sumsproducts of spheres

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

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Cites Work

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• Surgery stable curvature conditions
• Metrics with nonnegative Ricci curvature on convex three-manifolds
• Positive Ricci curvature on the connected sums of \(S^ n\times S^ m\)
• Examples of manifolds of positive Ricci curvature
• On the structure of manifolds with positive scalar curvature
• The classification of simply connected manifolds of positive scalar curvature
• Positive Ricci curvature on fibre bundles
• Boundary convexity on manifolds with nonnegative Ricci curvature.
• Scalar curvature and singular metrics
• Ricci-positive metrics on connected sums of projective spaces
• Some examples of manifolds of nonnegative curvature
• Homotopy groups of the observer moduli space of Ricci positive metrics
• Infinite loop spaces and positive scalar curvature
• Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary
• New connected sums with positive Ricci curvature
• Metrics of positive scalar curvature and generalised Morse functions, part I
• Four manifolds with two-positive Ricci curvature
• On the topology of the space of Ricci-positive metrics
• Riemannian Geometry
• Surgery on Ricci positive manifolds
• Harmonic spinors and metrics of positive curvature via the Gromoll filtration and Toda brackets
• Multivariable Curve Interpolation

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