A SMALL CLOSED CONVEX PROJECTIVE 4-MANIFOLD VIA DEHN FILLING

被引：2

作者：

Lee, Gye-Seon ^{[1
]}

Marquis, Ludovic ^{[2
]}

Riolo, Stefano ^{[3
]}

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon, South Korea

[2] Univ Rennes, CNRS, IRMAR UMR 6625, F-35000 Rennes, France

[3] Univ Pisa, Dipartimento Matemat, Pisa, Italy

来源：

PUBLICACIONS MATEMATIQUES | 2022年 / 66卷 / 01期

基金：

美国国家科学基金会; 欧洲研究理事会;

关键词：

real projective structure; hyperbolic; 4-manifold; Dehn filling; Euler characteristic; cone-manifold; Hilbert geometry; HYPERBOLIC; 4-MANIFOLDS; COLLISIONS; VOLUME; SPACE;

D O I：

10.5565/PUBLMAT6612215

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In order to obtain a closed orientable convex projective 4-manifold with small positive Euler characteristic, we build an explicit example of convex projective Dehn filling of a cusped hyperbolic 4-manifold through a continuous path of projective cone-manifolds.

引用

页码：369 / 403

页数：35