Manifolds with asymptotically nonnegative minimal radial curvature

DOI10.1515/ADVGEOM.2007.020zbMath1130.53031OpenAlexW2015452793MaRDI QIDQ5421648

Newton Luís Santos

Publication date: 24 October 2007

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2007.020

zbMATH Keywords

Gromov-Hausdorff limittangent cone at infinityasymptotically nonnegative minimal radial curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

• Gap theorems for noncompact Riemannian manifolds
• Bounding homotopy types by geometry
• \(C^\infty\) convex functions and manifolds of positive curvature
• An elementary method in the study of nonnegative curvature
• Splitting theorems for nonnegatively curved open manifolds with large ideal boundary
• Horofunctions, Busemann functions, and ideal boundaries of open manifolds of nonnegative curvature
• Ricci curvature and volume convergence
• Alexandrov spaces with nonnegative curvature out-side a compact set
• On the structure of complete manifolds of nonnegative curvature
• Manifolds with Pinched Radial Curvature
• Manifolds with minimal radial curvature bounded from below and big radius
• A Volume Comparison Theorem for Manifolds with Asymptotically Nonnegative Curvature and its Applications
• A Gap Theorem for Ends of Complete Manifolds
• Manifolds with minimal radial curvature bounded from below and big volume

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