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.
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页数：7
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