Cartan's Approach to Second Order Ordinary Differential Equations

Authors

  • Paul Bracken University of Texas

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i4.3868

Keywords:

geometry, differential equation, gauge, differential form

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.

Author Biography

  • Paul Bracken, University of Texas
    Mathematics/Physics

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Published

2020-10-31

Issue

Vol. 13 No. 4: (October 2020)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

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