  We obtain new examples of partially supersymmetric M-brane solutions defined
on products of Ricci-flat manifolds, which contain two-dimensional Lorentzian
submanifold R^{1,1}_{*}/Z_2 with one parallel spinor. The examples belong to
the following configurations: M2, M5, M2-M5 and M5-M5. Among them a M2 solution
with N =1/32 fractional number of preserved supersymmetries is presented. The
examples with three M-branes were considered earlier in our paper with A.A.
Golubtsova.
