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

页数：6

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