Cartan’s Approach to Second Order Ordinary Differential Equations

Authors

Paul Bracken, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

2020

Abstract

In his work on projective connections, Cartan discusses his theory of second order differential equations. 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 use of gauge conditions

Comments

Copyright 2020 EJPAM All rights reserved

Recommended Citation

Bracken, P. (2020). Cartan's Approach to Second Order Ordinary Differential Equations. European Journal of Pure and Applied Mathematics, 13(4), 1016-1034. doi:https://doi.org/10.29020/nybg.ejpam.v13i4.3868

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

First Page

1016

Last Page

1034

Publication Title

European Journal of Pure and Applied

DOI

10.29020/nybg.ejpam.v13i4.3868