Local dynamics of conformal vector fields

被引：0

作者：

Charles Frances

机构：

[1] Université Paris-Sud,Laboratoire de Mathématiques

来源：

Geometriae Dedicata | 2012年 / 158卷

关键词：

Conformal vector fields; Pseudo-Riemannian structures; 53A30; 53C50;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study pseudo-Riemannian conformal vector fields in the neighborhood of a singularity. For Riemannian manifolds, we prove that if a conformal vector field vanishing at a point x0 is not Killing for a metric in the conformal class, then a neighborhood of the singularity x0 is conformally flat.

引用

页码：35 / 59

页数：24

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