Rigidity of convex divisible domains in flag manifolds

被引：0
|
作者：
Van Limbeek, Wouter [1 ,2 ]
Zimmer, Andrew [2 ]
机构：
[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60680 USA
[2] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA
来源：
GEOMETRY & TOPOLOGY | 2019年 / 23卷 / 01期
基金：
美国国家科学基金会;
关键词：
PROJECTIVE-STRUCTURES;
D O I：
10.2140/gt.2019.23.171
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In contrast to the many examples of convex divisible domains in real projective space, we prove that up to projective isomorphism there is only one convex divisible domain in the Grassmannian of p-planes in R-2p when p > 1. Moreover, this convex divisible domain is a model of the symmetric space associated to the simple Lie group SO(p, p).
引用
收藏
页码：171 / 240
页数：70
相关论文
共 50 条
12345