4.6 Article

Closed three-dimensional vacuum static spaces

期刊

INVENTIONES MATHEMATICAE
卷 231, 期 3, 页码 1541-1542

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SPRINGER HEIDELBERG
DOI: 10.1007/s00222-022-01139-4

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This article focuses on the study of closed vacuum static spaces. By using the maximum principle argument, we demonstrate that three-dimensional closed vacuum static spaces with a scalar curvature of 6 must be isometric to either the standard unit sphere S-3 (1) or a finite quotient of the torus S-1 (root 1/3) x S-2 (root 1/3).
This article is devoted to the study of the closed vacuum static spaces. Based on the argument of maximum principle, we show that three-dimensional closed vacuum static spaces with scalar curvature 6 must be isometric to either the standard unit sphere S-3 (1) or a finite quotient of the torus S-1 (root 1/3) x S-2 (root 1/3).

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