Cartan equivalence problem for third order differential operators
Differential Geometry
2011-09-13 v3
Abstract
This article is dedicated to solve the equivalence problem for two third order differential operators on the line under general fiber--preserving transformation using the Cartan method of equivalence. We will do three versions of the equivalence problems: first via the direct equivalence problem, second equivalence problem is to determine conditions on two differential operators such that there exists a fiber-preserving transformations mapping one to the other according to gauge equivalence.
Keywords
Cite
@article{arxiv.1101.3208,
title = {Cartan equivalence problem for third order differential operators},
author = {Mehdi Nadjafikhah and Rohollah Bakhshandeh-Chamazkoti},
journal= {arXiv preprint arXiv:1101.3208},
year = {2011}
}