  The paper aims to initiate a systematic study of conformal mappings between
Finsler spacetimes and, more generally, between pseudo-Finsler spaces. This is
done by extending several results in pseudo-Riemannian geometry which are
necessary for field-theoretical applications and by proposing a technique which
reduces a series of problems involving pseudo-Finslerian conformal vector
fields to their pseudo-Riemannian counterparts. Also, we point out, by
constructing classes of examples, that conformal groups of flat (locally
Minkowskian) pseudo-Finsler spaces can be much richer than both flat Finslerian
and pseudo-Euclidean conformal groups.
