Symmetry gaps for higher order ordinary differential equations
Differential Geometry
2022-07-12 v2
Abstract
The maximal contact symmetry dimensions for scalar ODEs of order and vector ODEs of order 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.
Cite
@article{arxiv.2110.03954,
title = {Symmetry gaps for higher order ordinary differential equations},
author = {Johnson Allen Kessy and Dennis The},
journal= {arXiv preprint arXiv:2110.03954},
year = {2022}
}
Comments
18 pages, 2 figures