Examples of Riemannian Manifolds with non-negative sectional curvature

Abstract

An updated version with a few corrections.

32 pages

References in corpus (3)

• Nonnegative pinching, moduli spaces and bundles with infinitely many souls
• Flats in Riemannian Submersions from Lie Groups
• Diffeomorphism type of the Berger space

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• Sectional curvature and Weitzenböck formulae
• Statistics on the (compact) Stiefel manifold: Theory and Applications
• Flag manifolds with strongly positive curvature
• Positive weighted sectional curvature
• Sweeping out sectional curvature
• Positive Ricci curvature on fiber bundles with compact structure group
• Riemannian submersions from simple, compact Lie groups
• Integral geometric Hopf conjectures
• Estimates for Minimal Volume and Minimal Curvature on 4-dimensional compact manifolds
• Positive curvature and torus symmetry in small dimensions, I -- Dimensions 10, 12, 14, and 16
• Simpler Grassmannian optimization
• Infinite families of manifolds of positive $k^{\mathrm{th}}$-intermediate Ricci curvature with $k$ small
• Fundamental groups of manifolds with positive sectional curvature and torus symmetry
• On a theorem of Grove and Searle
• Measure Concentration and the Topology of Positively-Curved Riemannian Manifolds
• The curvature of convex sum of metrics and applications
• On Closed 6-Manifolds Admitting Riemannian Metrics with Positive Sectional Curvature and Non-Abelian Symmetry
• Topology of positively curved 8-dimensional manifolds with symmetry