Complex Lie point transformations are used to linearize a class of systems of
second order ordinary differential equations (ODEs) which have Lie algebras of
maximum dimension d, with dβ€4. We identify such a class by employing
complex structure on the manifold that defines the geometry of differential
equations. Furthermore we provide a geometrical construction of the procedure
adopted that provides an analogue in R3 of the linearizability criteria
in R2.Comment: 17 Pages, to appear in Journal of Applied Mathematics. arXiv admin
note: substantial text overlap with arXiv:1104.383