  The Pierre Auger Collaboration has reported evidence for anisotropy in the
distribution of arrival directions of the cosmic rays with energies
$E>E_{th}=5.5\times 10^{19}$ eV. These show a correlation with the distribution
of nearby extragalactic objects, including an apparent excess around the
direction of Centaurus A. If the particles responsible for these excesses at
$E>E_{th}$ are heavy nuclei with charge $Z$, the proton component of the
sources should lead to excesses in the same regions at energies $E/Z$. We here
report the lack of anisotropies in these directions at energies above
$E_{th}/Z$ (for illustrative values of $Z=6,\ 13,\ 26$). If the anisotropies
above $E_{th}$ are due to nuclei with charge $Z$, and under reasonable
assumptions about the acceleration process, these observations imply stringent
constraints on the allowed proton fraction at the lower energies.
