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Complete manifolds with nonnegative scalar curvature and the positive action conjecture in general relativity

We find some integrability conditions for low-dimensional manifolds to admit metrics with nonnegative scalar curvature. In particular, we solve the positive action conjecture in general relativity in the affirmative.

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Sonraí bibleagrafaíochta
Foilsithe in:Proc Natl Acad Sci U S A
Príomhchruthaitheoirí: Schoen, Richard M., Yau, Shing-Tung
Formáid: Artigo
Teanga:Inglês
Foilsithe / Cruthaithe: National Academy of Sciences 1979
Ábhair:
Rochtain ar líne:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC383180/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592627/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.76.3.1024
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