  In this paper, we define conservative semibasic vector $1-$forms on the
tangent bundle of a Finsler manifold. Using these vector $1-$forms, we
characterize conservative $L-$Ehresmann connections with respect to the energy
function. Then we find a correspondence between torsion-free semibasic vector
$1-$forms and the subset of vertical vector fields. Taking into account this
correspondence, we construct a class of semisprays that generates the Ehresmann
connections mentioned above.
