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Convex plumbings in closed hyperbolic 4-manifolds.

作者信息

Martelli Bruno, Riolo Stefano, Slavich Leone

机构信息

Dipartimento di Matematica, Largo Pontecorvo 5, 56127 Pisa, Italy.

Dipartimento di Matematica, Università di Pisa, Largo Pontecorvo 5, 56127 Pisa, Italy.

出版信息

Geom Dedic. 2021;212(1):243-259. doi: 10.1007/s10711-020-00557-z. Epub 2020 Aug 7.

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.

摘要
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/57c9588db8c8/10711_2020_557_Fig1_HTML.jpg

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