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arXiv · 0809.4653

Point classification of 2nd order ODEs: Tresse classification revisited and beyond

Boris Kruglikov
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Abstract

In 1896 Tresse gave a complete description of relative differential invariants for the pseudogroup action of point transformations on the 2nd order ODEs. The purpose of this paper is to review, in light of modern geometric approach to PDEs, this classification and also discuss the role of absolute invariants and the equivalence problem.

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Boris Kruglikov. 2008-09-26. Point classification of 2nd order ODEs: Tresse classification revisited and beyond. https://arxiv.org/abs/0809.4653

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