Constant angle surfaces in product spaces

We classify all the surfaces in M-2(c(1)) x M-2(c(2)) for which the tangent space TpM2 makes constant angles with T-p(M-2(c(1)) x {p(2)}) (or equivalently with T-p({p(1)} x M-2(c(2))) for every point p = (p(1), p(2)) of M-2. Here M-2(c(1)) and M-2(c(2)) are 2-dimensional space forms, not both flat. As a corollary we give a classification of all the totally geodesic surfaces in M-2(c(1)) x M-2(c(2)). (C) 2012 Elsevier B.V. All rights reserved.