Flat manifolds with homogeneous holonomy representation

被引：1
|
作者：
Lutowski, Rafal [1 ]
机构：
[1] Univ Gdansk, Inst Math, UL Wita Stwosza 57, PL-80308 Gdansk, Poland
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2021年 / 99卷 / 1-2期
关键词：
Bieberbach group; flat manifold; Kahler manifold; homogeneous representation; holonomy representation;
D O I：
10.5486/PMD.2021.8881
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that a rational holonomy representation of any compact flat manifold except a torus must have at least two non-equivalent irreducible subrepresentations. As an application, we show that if a compact flat Kahler manifold is not a torus, then its holonomy representation is reducible.
引用
下载
收藏
页码：117 / 122
页数：6
相关论文
共 50 条
12345