Symmetries of second order ODEs
Differential Geometry
2017-11-16 v1 Classical Analysis and ODEs
Complex Variables
Abstract
It is demonstrated that point symmetry algebras of general analytic second order ODEs, not necessary of principal type, can have all dimensions between 0 and 8 except for 7. For the symmetry dimension 8 the ODE must be locally trivializable.
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Cite
@article{arxiv.1711.05347,
title = {Symmetries of second order ODEs},
author = {Boris Kruglikov},
journal= {arXiv preprint arXiv:1711.05347},
year = {2017}
}
Comments
4 pages