Symmetry gaps for higher order ordinary differential equations
نویسندگان
چکیده
The maximal contact symmetry dimensions for scalar ODEs of order $\ge 4$ and vector 3$ are well known. Using a Cartan-geometric approach, we determine these the next largest realizable (submaximal) dimension. Moreover, finer curvature-constrained submaximal also classified.
منابع مشابه
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2022.126475