The Schwarzian derivative and Euler-Lagrange equations

被引：1

作者：

Krynski, Wojciech ^{[1
]}

机构：

[1] Polish Acad Sci, Inst Math, Ul Sniadeckich 8, PL-00656 Warsaw, Poland

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2022年 / 182卷

关键词：

Schwarzian derivative; Euler-Lagrange equations; Geometry of ODEs;

D O I：

10.1016/j.geomphys.2022.104665

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Schwarzian derivative from a variational viewpoint. In particular, we show that the Schwarzian derivative defines a first integral of the Euler-Lagrange equation of a second order Lagrangian. Moreover, we prove that the Schwarzian derivative itself can be considered as the Euler-Lagrange operator for an appropriately chosen class of variations. (C) 2022 The Author(s). Published by Elsevier B.V.

引用

页数：7

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