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.

中文翻译：

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渐近平的黎曼3-流形上的等压线，标量曲率和质量

令（M，g）是具有非负标量曲率和正质量的渐近平黎曼3流形。我们显示，通过稳定的恒定平均曲率球体（M，g）末端的规范叶的每片叶子比同一区域的任何其他表面所包围的体积更大。