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arXiv · 2110.03954

Symmetry gaps for higher order ordinary differential equations

Johnson Allen Kessy·Dennis The
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Abstract

The maximal contact symmetry dimensions for scalar ODEs of order $\ge 4$ and vector ODEs of order $\ge 3$ are well known. Using a Cartan-geometric approach, we determine for these ODEs the next largest realizable (submaximal) symmetry dimension. Moreover, finer curvature-constrained submaximal symmetry dimensions are also classified.

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Johnson Allen Kessy, Dennis The. 2021-10-08. Symmetry gaps for higher order ordinary differential equations. https://doi.org/10.1016/j.jmaa.2022.126475

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