Cartan equivalence method on fifth-order differential operator
Differential Geometry
2024-03-19 v2
Abstract
In this paper, we carry out the equivalence problem for fifth-order differential operators on the line under general fiber-preserving transformation using the Cartan method of equivalence. Two versions of equivalence problems have been solved. We consider the direct equivalence problem and an equivalence problem to determine the sufficient and necessary conditions on fifth-order differential operators such that there exists a fiber--preserving transformation mapping one to the other according to gauge equivalence.
Keywords
Cite
@article{arxiv.2204.07783,
title = {Cartan equivalence method on fifth-order differential operator},
author = {Morteza Bakhshandeh and Rohollah Bakhshandeh-Chamazkoti and Mehdi Nadjafikhah},
journal= {arXiv preprint arXiv:2204.07783},
year = {2024}
}
Comments
We have chosen to include some applications in the paper by presenting two distinct papers separately, focusing on direct equivalence and gauge equivalence