论文标题
初始数据集的鹰质量单调性
Hawking Mass Monotonicity for Initial Data Sets
论文作者
论文摘要
我们在最初的数据集$（M，G，K）上引入了PDE的新系统，其解决方案模型double-null叶子。这使我们能够概括Geroch在逆平均曲率流下的霍金质量的单调性公式到满足主要能量条件的初始数据集。我们研究这些系统的存在理论并提供几何应用。
We introduce new systems of PDE on initial data sets $(M,g,k)$ whose solutions model double-null foliations. This allows us to generalize Geroch's monotonicity formula for the Hawking mass under inverse mean curvature flow to initial data sets satisfying the dominant energy condition. We study the existence theory of these systems and give geometric applications.
