GLOBAL UNIQUENESS OF LARGE STABLE CMC SPHERES IN ASYMPTOTICALLY FLAT RIEMANNIAN 3-MANIFOLDS

GLOBAL UNIQUENESS OF LARGE STABLE CMC SPHERES IN ASYMPTOTICALLY FLAT RIEMANNIAN 3-MANIFOLDS
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DOI:
10.1215/00127094-2021-0043
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发表时间:
2022-01-15
影响因子:
2.5
通讯作者:
Eichmair, Michael
Eichmair, Michael
中科院分区:
数学1区
文献类型:
--
作者:
Chodosh, Otis;Eichmair, Michael

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设(M,g)是一个完备的黎曼三维流形,它渐近于具有正质量的Schwarzschild,且其标量曲率为零。我们无条件地刻画了(M,g)中嵌入的大的稳定的常平均曲率(CMC)球。
Let (M, g) be a complete Riemannian 3-manifold that is asymptotic to Schwarzschild with positive mass and whose scalar curvature vanishes. We unconditionally characterize the large, embedded stable constant mean curvature (CMC) spheres in (M, g).