Proves that complete manifolds with Ric ≥ 0 and boundary h ≥ 1 are compact via monotone quantities from positive proper harmonic functions with Neumann conditions.
Colding,Lower bounds on Ricci curvature and the almost rigidity of warped products, Ann
2 Pith papers cite this work. Polarity classification is still indexing.
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math.DG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Contractible complete 3-manifolds with nonnegative scalar curvature are diffeomorphic to R^3; open handlebodies admitting such metrics have genus at most 1.
citing papers explorer
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Nonnegative Ricci Curvature and Uniformly Convex Boundary Forces Compactness
Proves that complete manifolds with Ric ≥ 0 and boundary h ≥ 1 are compact via monotone quantities from positive proper harmonic functions with Neumann conditions.
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Topology of 3-manifolds with nonnegative scalar curvature and positive harmonic functions
Contractible complete 3-manifolds with nonnegative scalar curvature are diffeomorphic to R^3; open handlebodies admitting such metrics have genus at most 1.