Convex plumbings in closed hyperbolic 4-manifolds
arXiv:2003.08434 · doi:10.1007/s10711-020-00557-z
Abstract
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.
18 pages, 11 figures