Cartan equivalence problem for third order differential operators

Details Cartan equivalence problem for third order differential operators Cartan equivalence problem for third order differential operators

2011-01-17

arxiv.org/abs/1101.3208v3

Mathematics

Differential Geometry

Scientific paper

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.

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