切触变换下四阶微分方程的几何

北京大学学报（自然科学版）

切触变换下四阶微分方程的几何

陈维桓¹,李海中²

¹北京大学数学学院，北京，100871；²清华大学数学科学系，北京，100084

收稿日期:1998-03-17 出版日期:1999-05-20 发布日期:1999-05-20

The Geometry of the Differential Equations of the Fourth Order Under the Contact Transformations

CHEN Weihuan¹, LI Haizhong²

¹School of Mathematical Sciences, Peking University, Beijing, 100871; ²Department of Mathematical Science, Tsinghua University, Beijing, 100084

Received:1998-03-17 Online:1999-05-20 Published:1999-05-20

摘要/Abstract

摘要： 用E.Cartan的等价方法，研究切触变换下四阶微分方程y⁽⁴⁾=f(x, y, y', y'', y''')的几何。

关键词: 四阶微分方程, 切触变换, Cartan的等价方法

Abstract: It is studied that the geometry of the differential equations of the fourth order y⁽⁴⁾=f(x, y, y', y", y''') under contact transformations by E.Cartan's method of equivalence.

Key words: The differential equations of the fourth order, contact transformations, Cartan's method of equivalence

中图分类号:

O186.12

陈维桓,李海中. 切触变换下四阶微分方程的几何[J]. 北京大学学报（自然科学版）.

CHEN Weihuan,LI Haizhong. The Geometry of the Differential Equations of the Fourth Order Under the Contact Transformations[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

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