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The geometry of second-order ordinary differential equations

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arxiv 1602.00913 v1 pith:QAM7G6KW submitted 2016-02-02 math.DG math.CA

Boris Doubrov , Boris Komrakov This is my paper · ORCID
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keywords differentialequationscartanconnectiongeometryinvariantsodesorder
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These are lecture notes of the Summer school on the geometry of differential equations held in Nordfjordeid, Norway in 1996. They cover geometric structures related to scalar second order ODEs, the construction of the associated Cartan connection, techniques for computing invariants of differential equations starting from the Cartan connection, recognition of symmetric 2nd order ODEs by their differential invariants and the constructive aspects of the local equivalence problem.

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  1. Finsler metrics on surfaces admitting three projective vector fields

    math.DG 2019-08 conditional novelty 7.0 of 10

    Every Finsler metric on a surface with a 3-dimensional projective symmetry algebra is locally projectively equivalent to a Randers metric, with an explicit list of normal forms.

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