Convex plumbings in closed hyperbolic 4-manifolds-Reference-Cited by-同舟云学术

Convex plumbings in closed hyperbolic 4-manifolds

Published:2020-08-07 Issue:1 Volume:212 Page:243-259
ISSN:0046-5755
Container-title:Geometriae Dedicata
language:en
Short-container-title:Geom Dedicata

Author:

Martelli Bruno,Riolo Stefano^ORCID,Slavich Leone

Abstract

AbstractWe 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.

Funder

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1007/s10711-020-00557-z.pdf

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