Improving the metric in an open manifold with nonnegative curvature

DOI10.1090/S0002-9939-98-04287-7zbMath1006.53028MaRDI QIDQ4383157

Luis Guijarro

Publication date: 24 March 1998

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

nonnegative curvatureopen manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (12)

Conditions for nonnegative curvature on vector bundles and sphere bundles. ⋮ Ricci curvature of double manifolds via isoparametric foliations ⋮ Strongly nonnegative curvature ⋮ On the curvature on \(G\)-manifolds with finitely many non-principal orbits ⋮ On the double soul conjecture ⋮ A panoramic glimpse of manifolds with sectional curvature bounded from below ⋮ How to produce a Ricci flow via Cheeger-Gromoll exhaustion ⋮ The Levy-Gromov isoperimetric inequality in convex manifolds with boundary ⋮ The metric projection onto the soul ⋮ Nonnegatively curved Alexandrov spaces with souls of codimension two ⋮ Index theory and deformations of open nonnegatively curved manifolds ⋮ How to lift positive Ricci curvature

Cites Work

• Unnamed Item
• Unnamed Item
• Distance nonincreasing retraction on a complete open manifold of nonnegative sectional curvature
• Convex manifolds of nonnegative curvature
• The spectrum of the Laplacian of manifolds of positive curvature
• Proof of the soul conjecture of Cheeger and Gromoll
• On the structure of complete manifolds of nonnegative curvature

This page was built for publication: Improving the metric in an open manifold with nonnegative curvature