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闭双曲4-流形中的凸 plumbing

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.

DOI:10.1007/s10711-020-00557-z
PMID:34720239
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8549931/
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

我们证明，对于亏格满足一个简单不等式的曲面上圆盘束的每一种拼接，都可以嵌入到某个闭双曲四维流形中作为凸子流形。特别地，其内部具有一个几何有限的双曲结构，该结构覆盖一个闭双曲四维流形。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/5c4e14999fba/10711_2020_557_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/57c9588db8c8/10711_2020_557_Fig1_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/11097203b2c8/10711_2020_557_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/9f21ca61e76a/10711_2020_557_Fig5_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/7ebb571359ee/10711_2020_557_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/11097203b2c8/10711_2020_557_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/9f21ca61e76a/10711_2020_557_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/c4adddf0d8da/10711_2020_557_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/4161ca6024a8/10711_2020_557_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/1bc1357b8610/10711_2020_557_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/0855b084b1b5/10711_2020_557_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/6225e65cbdc1/10711_2020_557_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0a51/8549931/5c4e14999fba/10711_2020_557_Fig11_HTML.jpg

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