Differential equations and conformal geometry

被引：17

作者：

Frittelli, S

Kamran, N

Newman, ET

机构：

[1] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

[2] Duquesne Univ, Dept Phys, Pittsburgh, PA 15282 USA

[3] Univ Pittsburgh, Dept Phys & Astron, Pittsburgh, PA 15260 USA

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2002年 / 43卷 / 2-3期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

differential equations; conformal geometry; Lorentzian geometry; contact transformations;

D O I：

10.1016/S0393-0440(01)00088-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It has recently been proved [3] that the solution spaces of certain classes of differential equations whose local solutions are parametrized by three or four arbitrary constants can be endowed with conformal Lorentzian metrics in a natural way. We shall prove that these conformal structures are preserved when the differential equations are transformed by a contact transformation. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：133 / 145

页数：13

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