Invariants of differential equations defined by vector fields
arXiv:0709.4435 · doi:10.1088/1751-8113/41/2/025207
Abstract
We determine the most general group of equivalence transformations for a family of differential equations defined by an arbitrary vector field on a manifold. We also find all invariants and differential invariants for this group up to the second order. A result on the characterization of classes of these equations by the invariant functions is also given.
13 pages