4维Minkowski空间中的Boost不变边缘捕获曲面
Boost invariant marginally trapped surfaces in Minkowski 4-space
摘要：
对闵可夫斯基四维空间中在boost等距群下不变的极值曲面和部分边缘陷陷曲面进行了分类。此外，它表明，不存在这类极值曲面的常数高斯曲率。给出了一种通过胶合两个在boost等距群下不变的边缘陷波曲面来构造部分边缘陷波曲面的方法。作为应用，构造了一个适当的星曲面。
英文摘要：
The extremal and partly marginally trapped surfaces in Minkowski 4-space, which are invariant under the group of boost isometries, are classified. Moreover, it is shown that there do not exist extremal surfaces of this kind with constant Gaussian curvature. A procedure is given in order to construct a partly marginally trapped surface by gluing two marginally trapped surfaces which are invariant under the group of boost isometries. As an application, a proper star-surface is constructed.
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