Cartan's Approach to Second Order Ordinary Differential Equations

Paul Bracken

Abstract

In his work on projective connections, Cartan discusses his theory of second order differential euqtions . It is the aim here to look at how a normal projective connection can be constructed and how it relates to the geometry of a single second order differential equation. The calculations are presented in some detail in order to highlight the usage of gauge conditions.

Keywords

geometry, differential equation, gauge, differential form

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