On Supersymmetric M-brane configurations with an R-*(1,1)/Z(2) submanifold

We obtain new examples of partly supersymmetric M-brane solutions defined on products of Ricci-flat manifolds, which contain a two-dimensional Lorentzian submanifold R (*) (1,1) /Z (2) with one parallel spinor. The examples belong to the following configurations: M2, M5, M2 a (c) M5 and M5 a (c) M5. Among them, an M2 solution with N = 1/32 fractional number of preserved supersymmetries is presented.