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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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Dades bibliogràfiques
Publicat a:Proc Natl Acad Sci U S A
Autors principals: Greene, R. E., Wu, H.
Format: Artigo
Idioma:Inglês
Publicat: National Academy of Sciences 1982
Matèries:
Accés en línia: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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