论文标题
带有任意目的及其应用的正质量定理
Positive mass theorem with arbitrary ends and its application
论文作者
论文摘要
在本文中，当尺寸不超过七个时，我们提供了具有任意末端的渐近平坦歧管的正质量定理的证明。作为一种应用，我们还显示了具有必要不可压缩条件的渐近局部欧几里得歧管的阳性定理。
In this article, we give a proof for positive mass theorem of asymptotically flat manifolds with arbitrary ends when the dimension is no greater than seven. As an application, we also show a positive mass theorem for asymptotically locally Euclidean manifolds with necessary incompressible conditions.
