Cartan's Approach to Second Order Ordinary Differential Equations
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Published:2020-10-31
Issue:4
Volume:13
Page:1016-1034
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ISSN:1307-5543
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Container-title:European Journal of Pure and Applied Mathematics
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language:
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Short-container-title:Eur. J. Pure Appl. Math.
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.
Publisher
New York Business Global LLC
Subject
Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science