Torsion-free connections on G-structures

被引：0
|
作者：
Flamencourt, Brice [1 ]
机构：
[1] Univ Stuttgart, Inst Geometrie & Topol, Fachbereich Math, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2023年 / 91卷
关键词：
G-structures; Connections; Conformal geometry; Weyl structures;
D O I：
10.1016/j.difgeo.2023.102075
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for a Lie group SOn(R) subset of G subset of GLn(R), any G-structure on a smooth manifold can be endowed with a torsion free connection which is locally the Levi-Civita connection of a Riemannian metric in a given conformal class. In this process, we classify the admissible groups.(c) 2023 Elsevier B.V. All rights reserved.
引用
收藏
页数：6
相关论文
共 50 条
12345