On Manifolds of Small Excess

DOI10.2307/2374965zbMath0854.53041OpenAlexW4249440676MaRDI QIDQ4288901

Yukio Otsu

Publication date: 22 January 1997

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374965

zbMATH Keywords

sectional curvatureHausdorff distanceexcesscollapsing Riemannian manifoldsfiniteness and pinching theorems

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (11)

An excess sphere theorem ⋮ On radius, systole, and positive Ricci curvature ⋮ Manifolds with Pinched Radial Curvature ⋮ Curvature, triameter, and beyond ⋮ Metric Curvatures Revisited: A Brief Overview ⋮ Smooth diameter and eigenvalue rigidity in positive Ricci curvature ⋮ Collapsing three-dimensional closed Alexandrov spaces with a lower curvature bound ⋮ Manifolds of almost nonnegative curvature ⋮ Splitting theorems for nonnegatively curved open manifolds with large ideal boundary ⋮ Manifolds with small excess and bounded curvature ⋮ Deforming metrics with curvature and injectivity radius bounded from below

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