  We theoretically study the magnetic phase diagram of a three-dimensional
topological Kondo insulator by means of real-space dynamical mean field theory.
We find that ferromagnetically ordered states become stable upon hole doping.
Besides a wide ferromagnetic phase, we observe surface magnetism close to
half-filling, which corresponds to an A-type antiferromagnetic state. We
further study the impact of the magnetism on the symmetry protected surface
states and find that depending on the surface and the magnetization direction,
surface states are still protected by reflection symmetry present in our model.
The symmetry protected surface states are shifted away by the magnetization
from their original high symmetry momenta in the Brillouin zone. Remarkably,
due to the magnetization, the surface states are deformed, resulting in the
appearance of arcs in the momentum resolved spectrum.
