Martelli Bruno, Riolo Stefano, Slavich Leone
Dipartimento di Matematica, Largo Pontecorvo 5, 56127 Pisa, Italy.
Dipartimento di Matematica, Università di Pisa, Largo Pontecorvo 5, 56127 Pisa, Italy.
Geom Dedic. 2021;212(1):243-259. doi: 10.1007/s10711-020-00557-z. Epub 2020 Aug 7.
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.