论文标题

封闭双曲线4个manifolds中的凸形管道

Convex plumbings in closed hyperbolic 4-manifolds

论文作者

Martelli, Bruno, Riolo, Stefano, Slavich, Leone

论文摘要

我们表明,圆盘捆绑包在表面上的每条管道都可以将简单不平等的属固定在某些封闭的双曲线四个manifold中。特别是它的内部具有几何有限的双曲线结构,覆盖了封闭的双曲线四个manifold。

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.

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