Topology of automorphism groups of parabolic geometries

被引：0

作者：

Frances, Charles ^{[1
]}

Melnick, Karin ^{[2
]}

机构：

[1] Univ Strasbourg, Inst Rech Math Avancee, Strasbourg, France

[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

GEOMETRY & TOPOLOGY | 2019年 / 23卷 / 01期

关键词：

D O I：

10.2140/gt.2019.23.135

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove for the automorphism group of an arbitrary parabolic geometry that the C-0 - and C-infinity-topologies coincide, and the group admits the structure of a Lie group in this topology. We further show that this automorphism group is closed in the homeomorphism group of the underlying manifold.

引用

页码：135 / 169

页数：35

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