Given a submanifold $S \subset \mathbb{R}^n$ of codimension at least three, we construct an asymptotically Euclidean Riemannian metric on $\mathbb{R}^n$ with nonnegative scalar curvature for which the outermost apparent horizon is diffeomorphic to the unit normal bundle of $S$.

中文翻译：

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最外层视界对单元法线束有差别

给定一个至少3个子流形的$ S \ subset \ mathbb {R} ^ n $，我们在$ \ mathbb {R} ^ n $上构造一个渐近欧氏黎曼度量，其标量曲率为非负值，其最外层视界为微分形到$ S $的单位普通束。