论文标题
曲率估计值稳定的边缘边缘稳定边缘的超曲面和自由边界
A curvature estimate for stable marginally outer trapped hypersurface with a free boundary
论文作者
论文摘要
边缘外部捕获的超表面是最小超曲面的概括，起源于一般相对论。我们显示了稳定的边缘外侧曲面的曲率估计值，直到满足均匀区域的自由边界。我们的证明是基于迭代论点。曲率估计以前是通过稳定最小超曲面的爆炸论点而闻名的。
A marginally outer trapped hypersurface is a generalization of minimal hypersurfaces originated from general relativity. We show a curvature estimate for stable marginally outer trapped hypersurfaces up to the free boundary satisfying a uniform area bound. Our proof is based on an iteration argument. The curvature estimate was previously known via a blowup argument for stable minimal hypersurfaces.
