Plane Curves and Geodesic Diffeomorphisms

被引：0
|
作者：
D. A. Catalano
机构：
[1] Universidade de Aveiro,Departamento de Matemática
来源：
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg | 2001年 / 71卷
关键词：
Vector Field; Tangent Space; Sectional Curvature; Plane Curf; Affine Space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In a pseudo-Riemannian manifold we can define anr-plane curve as a curve with vanishingr-th curvature. We show that every diffeomorphism that carriesr-plane curves intor-plane curves (for a fixedr) is a geodesic diffeomorphism, i.e. carries geodesics into geodesics.
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页码：77 / 79
页数：2
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