  Suspensions of motile active particles with space dependent activity form
characteristic polarization and density patterns. Recent single-particle
studies for planar activity landscapes identified several quantities associated
with emergent density-polarization patterns, including swim pressure, that are
solely determined by bulk variables and thus constitute state functions. We
show that for radially symmetric activity steps these variables depend on the
curvature of the active-passive interface. In the specific case of total
polarization and swim pressure, we generalize this result for arbitrary
radially symmetric activity landscapes. Our exact as well as approximate
analytical results agree with exact numerical calculations. We expect
qualitatively the same results to hold for arbitrarily curved activity
landscapes.
