Generalized Wilczynski invariants for non-linear ordinary differential equations
Differential Geometry
2008-07-22 v2 Classical Analysis and ODEs
Abstract
We show that classical Wilczynski--Se-ashi invariants of linear systems of ordinary differential equations are generalized in a natural way to contact invariants of non-linear ODEs. We explore geometric structures associated with equations that have vanishing generalized Wilczynski invariants and establish relationship of such equations with deformation theory of rational curves on complex algebraic surfaces.
Cite
@article{arxiv.math/0702251,
title = {Generalized Wilczynski invariants for non-linear ordinary differential equations},
author = {Boris Doubrov},
journal= {arXiv preprint arXiv:math/0702251},
year = {2008}
}
Comments
18 pages; corrected typos, added reference