  The purpose of the paper is to show that, in low dimensions, the WDVV
equations are bi-Hamiltonian. The invariance of the bi-Hamiltonian formalism is
proved for $N=3$. More examples in higher dimensions show that the result might
hold in general. The invariance group of the bi-Hamiltonian pairs that we find
for WDVV equations is the group of projective transformations. The significance
of projective invariance of WDVV equations is discussed in detail. The computer
algebra programs that were used for calculations throughout the paper are
provided in a GitHub repository.
