The Schwarzian derivative and Euler--Lagrange equations
Differential Geometry
2022-09-28 v1
Abstract
We study the Schwarzian derivative from a variational viewpoint. Firstly we show that the Schwarzian derivative defines a first integral of the Euler--Lagrange equation of a second order Lagrangian. Secondly, we show that the Schwarzian derivative itself is the Euler--Lagrange operator for an appropriately chosen class of variations.
Cite
@article{arxiv.2112.08712,
title = {The Schwarzian derivative and Euler--Lagrange equations},
author = {Wojciech Kryński},
journal= {arXiv preprint arXiv:2112.08712},
year = {2022}
}