On far-outlying constant mean curvature spheres in asymptotically flat Riemannian 3-manifolds
On far-outlying constant mean curvature spheres in asymptotically flat Riemannian 3-manifolds
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DOI：
10.1515/crelle-2019-0034
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发表时间：
2020-10-01
影响因子：
1.5
通讯作者：
Eichmair, Michael
中科院分区：
文献类型：
--
作者：
Chodosh, Otis;Eichmair, Michael
我们将S.Brendle和第二个命名作者[3]的工作中的稳定常平均曲率球的Lyapunov-Schmidt分析推广到“远离中心”区域，并包含了一般的Schwarzschild渐近性。我们得到了稳定的、微妙地依赖于无穷远处标量曲率行为的大稳定常平均曲率球的存在和不存在的精确结果。
We extend the Lyapunov-Schmidt analysis of outlying stable constant mean curvature spheres in the work of S. Brendle and the second-named author [3] to the "far-off-center" regime and to include general Schwarzschild asymptotics. We obtain sharp existence and non-existence results for large stable constant mean curvature spheres that depend delicately on the behavior of scalar curvature at infinity.