We show that every plumbing of disc bundles over surfaces whose genera satisfy a simple inequality may be embedded as a convex submanifold in some closed hyperbolic four-manifold. In particular its interior has a geometrically finite hyperbolic structure that covers a closed hyperbolic four-manifold.

中文翻译：

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封闭双曲四流形中的凸形管道

我们表明，在其属满足简单不等式的曲面上，盘丛的每个管道都可以作为凸子流形嵌入某些闭合双曲四流形中。特别是它的内部具有几何上有限的双曲结构，覆盖了一个封闭的双曲四流形。