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.
Convex plumbings in closed hyperbolic 4-manifolds / Martelli B.; Riolo S.; Slavich L.. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - ELETTRONICO. - 212:1(2021), pp. 243-259. [10.1007/s10711-020-00557-z]
Convex plumbings in closed hyperbolic 4-manifolds
Riolo S.;Slavich L.
2021
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.File in questo prodotto:
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