Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds
Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds
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DOI：
10.1002/cpa.21981
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发表时间：
2016-06
影响因子：
3
通讯作者：
Otis Chodosh;M. Eichmair;Yuguang Shi;Haobin Yu
中科院分区：
文献类型：
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作者：
Otis Chodosh;M. Eichmair;Yuguang Shi;Haobin Yu
设（M，g）是一个渐近平坦的黎曼三维流形，具有非负数量曲率和正质量.我们表明，每个叶片的规范叶状结束（M，g）通过稳定的常数平均曲率球包围更多的体积比任何其他表面相同的面积。
Let (M, g) be an asymptotically flat Riemannian 3‐manifold with nonnegative scalar curvature and positive mass. We show that each leaf of the canonical foliation of the end of (M, g) through stable constant mean curvature spheres encloses more volume than any other surface of the same area.