  The self-consistent chiral quark-soliton model is a relativistic pion
mean-field approach in the large $N_c$ limit, which describes both light and
heavy baryons on an equal footing. In the limit of the infinitely heavy mass of
the heavy quark, a heavy baryon can be regarded as $N_c-1$ valence quarks bound
by the pion mean fields, leaving the heavy quark as a color static source. The
structure of the heavy baryon in this scheme is mainly governed by the
light-quark degrees of freedom. Based on this framework, we evaluate the
electromagnetic form factors of the lowest-lying heavy baryons. The rotational
$1/N_c$ and strange current quark mass corrections in linear order are
considered. We discuss the electric charge and magnetic densities of heavy
baryons in comparison with those of the nucleons. The results of the electric
charge radii of the positive-charged heavy baryons show explicitly that the
heavy baryon is a compact object. The electric form factors are presented. The
form factor of $\Sigma_c^{++}$ is compared with that from a lattice QCD. We
also discuss the results of the magnetic form factors. The magnetic moments of
the baryon sextet with spin 1/2 and the magnetic radii are compared with other
works and the lattice data.
