  We show that for $m>n\geq 2$, there are at least two exact isotropic $n$-tori
in $\mathbb{C}^m$ which are not Hamiltonian isotopic in $\mathbb{C}^m$, even
though they are smoothly isotopic as isotropic $n$-tori. We apply this
discovery to obtain more distinct non-exact isotropic tori in $\mathbb{C}^m$.
