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The second-order ordinary differential equation Cartan, Douglas, Berwald

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Abstract

This paper is a re-examination of Cartan's theory of the second-order ordinary differential equation, from a modern perspective; the opportunity is taken to point out some relations between his results and the work of Douglas and Berwald on the geometry of paths.

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Authors and Affiliations

  1. Department of Mathematical Physics and Astronomy, Ghent University, Krijgslaan 281, B--9000 Gent, Belgium

    M. Crampin

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  1. M. Crampin
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Crampin, M. The second-order ordinary differential equation Cartan, Douglas, Berwald. Periodica Mathematica Hungarica 48, 151–164 (2004). https://doi.org/10.1023/B:MAHU.0000038972.59037.f6

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  • DOI: https://doi.org/10.1023/B:MAHU.0000038972.59037.f6

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