Third order ordinary differential equations and Legendre connections

被引：16

作者：

Sato, H ^{[1
]}

Yoshikawa, AY ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 1998年 / 50卷 / 04期

关键词：

D O I：

10.2969/jmsj/05040993

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use N. Tanaka's theory of normal Cartan connections associated with simple graded Lie algebras to study Cartan's equivalence problem of single third order ordinary differential equations under contact transformations. As: a result we obtain the complete structure equation with two differential invariants, which is applied on general Legendre Grassmann bundles of three-dimensional contact manifolds.

引用

页码：993 / 1013

页数：21