Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics

被引：0

作者：

A. O. Remizov

F. Tari

机构：

[1] Instituto de Ciências Matemáticas e de Computação - USP,

[2] Avenida Trabalhador São-Carlense,undefined

来源：

Geometriae Dedicata | 2016年 / 185卷

关键词：

Pseudo-Riemannian metrics; Geodesics; Singular points; Normal forms; 53C22; 53B30; 34C05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a pseudo-Riemannian metric that changes signature along a smooth curve on a surface, called the discriminant curve. The discriminant curve separates the surface locally into a Riemannian and a Lorentzian domain. We study the local behaviour and properties of geodesics at a point on the discriminant where the isotropic direction is tangent to the discriminant curve.

引用

页码：131 / 153

页数：22

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