Characterization of Large Isoperimetric Regions in Asymptotically Hyperbolic Initial Data
Characterization of Large Isoperimetric Regions in Asymptotically Hyperbolic Initial Data
复制标题
渐近双曲初始数据中大等周区域的表征
DOI：
10.1007/s00220-019-03354-2
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发表时间：
2019
影响因子：
2.4
通讯作者：
Zhu Jintian
中科院分区：
文献类型：
--
作者：
Chodosh Otis;Eichmair Michael;Shi Yuguang;Zhu Jintian
设（M，g）是Schwarzschild-anti-deSitter渐近的具有标量曲率的完备黎曼三维流形.在A. Neves和G.田和第一作者的方法，我们证明了（M，g）的典型叶理的叶是等周问题的面积的唯一解。这是必要的。这是第一个表征结果的大等周区域中的渐近双曲设置，并不假设精确的旋转对称在无穷远。
Let (M,g) be a complete Riemannian 3-manifold asymptotic to Schwarzschild-anti-deSitter and with scalar curvature. Building on work of A. Neves and G. Tian and of the first-named author, we show that the leaves of the canonical foliation of (M,g) are the unique solutions of the isoperimetric problem for their area. The assumptionis necessary. This is the first characterization result for large isoperimetric regions in the asymptotically hyperbolic setting that does not assume exact rotational symmetry at infinity.