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

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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