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On a new gap phenomenon in riemannian geometry

This note announces some theorems that show that the flat metric of euclidean space has no nearby nonflat complete metric with the property that its curvature keeps a sign and is “uniformly small” in a sense made precise here.

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Bibliografische Detailangaben
Veröffentlicht in:Proc Natl Acad Sci U S A
Hauptverfasser: Greene, R. E., Wu, H.
Format: Artigo
Sprache:Inglês
Veröffentlicht: National Academy of Sciences 1982
Schlagworte:
Online-Zugang:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC345818/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16593154/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.79.2.714
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