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Incompressible minimal surfaces, three-dimensional manifolds with nonnegative scalar curvature, and the positive mass conjecture in general relativity

We study three-dimensional Riemannian manifolds with nonnegative scalar curvature. We find new topological obstruction for such manifolds. Our method turns out to be useful in studying the positive mass conjecture in general relativity.

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Bibliografische Detailangaben
Veröffentlicht in:Proc Natl Acad Sci U S A
Hauptverfasser: Schoen, Richard, Yau, Shing-Tung
Format: Artigo
Sprache:Inglês
Veröffentlicht: National Academy of Sciences 1978
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Online-Zugang:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC392601/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592534/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.75.6.2567
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