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.
Martelli B., Riolo S., Slavich L. (2021). Convex plumbings in closed hyperbolic 4-manifolds. GEOMETRIAE DEDICATA, 212(1), 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:
| File | Dimensione | Formato | |
|---|---|---|---|
|
s10711-020-00557-z.pdf
accesso aperto
Tipo:
Versione (PDF) editoriale
Licenza:
Licenza per Accesso Aperto. Creative Commons Attribuzione (CCBY)
Dimensione
1.19 MB
Formato
Adobe PDF
|
1.19 MB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
