  We investigate the electromagnetic form factors of the baryon decuplet within
the framework of the $\mathrm{SU(3)}$ self-consistent chiral quark-soliton
model, taking into account the $1/N_c$ rotational corrections and the effects
of flavor $\mathrm{SU(3)}$ symmetry breaking. We first examine the valence- and
sea-quark contributions to each electromagnetic form factor of the baryon
decuplet and then the effects of the flavor SU(3) symmetry breaking. The
present results are in good agreement with the recent lattice data. We also
compute the charge radii, the magnetic radii, the magnetic dipole moments and
the electric quadrupole moments, comparing their results with those from other
theoretical works. We also make a chiral extrapolation to compare the present
results with the lattice data in a more quantitative manner. The results show
in general similar tendency to the lattice results. In particular, the results
of the $M1$ and $E2$ form factors are in good agreement with those of lattice
QCD.
