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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.

I tiakina i:
Ngā taipitopito rārangi puna kōrero
I whakaputaina i:Proc Natl Acad Sci U S A
Ngā kaituhi matua: Greene, R. E., Wu, H.
Hōputu: Artigo
Reo:Inglês
I whakaputaina: National Academy of Sciences 1982
Ngā marau:
Urunga tuihono: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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