论文标题
渐近平坦的3型含量为正质量的渐近平坦的等级法
Isoperimetry for asymptotically flat 3-manifolds with positive ADM mass
论文作者
论文摘要
令$（m^3，g）$为渐近平坦的3个manifold，ADM质量为正。在本文中，我们表明规范叶的每个叶子都是其封闭体积的独特等级表面。我们的证明是基于“填充”论点和渐近的渐近平面3序列的尖锐等等不平等，具有非负标态曲率。
Let $(M^3, g)$ be an asymptotically flat 3-manifold with positive ADM mass. In this paper, we show that each leaf of the canonical foliation is the unique isoperimetric surface for the volume it encloses. Our proof is based on the "fill-in" argument and sharp isoperimetric inequality on asymptotically flat 3-manifold with nonnegative scalar curvature.
