Convex plumbings in closed hyperbolic 4-manifolds

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...

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Detalles Bibliográficos
Autores principales: Martelli, Bruno, Riolo, Stefano, Slavich, Leone
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Netherlands 2020
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8549931/
https://www.ncbi.nlm.nih.gov/pubmed/34720239
http://dx.doi.org/10.1007/s10711-020-00557-z
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author Martelli, Bruno
Riolo, Stefano
Slavich, Leone
author_facet Martelli, Bruno
Riolo, Stefano
Slavich, Leone
author_sort Martelli, Bruno
collection PubMed
description 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.
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spelling pubmed-85499312021-10-29 Convex plumbings in closed hyperbolic 4-manifolds Martelli, Bruno Riolo, Stefano Slavich, Leone Geom Dedic Original Paper 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. Springer Netherlands 2020-08-07 2021 /pmc/articles/PMC8549931/ /pubmed/34720239 http://dx.doi.org/10.1007/s10711-020-00557-z Text en © The Author(s) 2020 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Original Paper
Martelli, Bruno
Riolo, Stefano
Slavich, Leone
Convex plumbings in closed hyperbolic 4-manifolds
title Convex plumbings in closed hyperbolic 4-manifolds
title_full Convex plumbings in closed hyperbolic 4-manifolds
title_fullStr Convex plumbings in closed hyperbolic 4-manifolds
title_full_unstemmed Convex plumbings in closed hyperbolic 4-manifolds
title_short Convex plumbings in closed hyperbolic 4-manifolds
title_sort convex plumbings in closed hyperbolic 4-manifolds
topic Original Paper
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8549931/
https://www.ncbi.nlm.nih.gov/pubmed/34720239
http://dx.doi.org/10.1007/s10711-020-00557-z
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AT slavichleone convexplumbingsinclosedhyperbolic4manifolds

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