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
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
收藏
页码:369 / 403
页数:35
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