Invariants of differential equations defined by vector fields
Mathematical Physics
2009-11-13 v1 Differential Geometry
math.MP
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.
Cite
@article{arxiv.0709.4435,
title = {Invariants of differential equations defined by vector fields},
author = {J. C. Ndogmo},
journal= {arXiv preprint arXiv:0709.4435},
year = {2009}
}
Comments
13 pages