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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.

Gorde:
Xehetasun bibliografikoak
Argitaratua izan da:Proc Natl Acad Sci U S A
Egile Nagusiak: Greene, R. E., Wu, H.
Formatua: Artigo
Hizkuntza:Inglês
Argitaratua: National Academy of Sciences 1982
Gaiak:
Sarrera elektronikoa: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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