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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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Detalles Bibliográficos
Publicado en:Proc Natl Acad Sci U S A
Principais autores: Schoen, Richard, Yau, Shing-Tung
Formato: Artigo
Idioma:Inglês
Publicado: National Academy of Sciences 1978
Assuntos:
Acceso en liña: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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