In this work we complete a classification of pseudo-parallel hypersurfaces of S-n x R and H-n x R, that was partially given by F. Lin and B. Yang. As an application, we obtain a classification of pseudo-parallel hypersurfaces with constant mean curvature. In particular, we prove that a minimal pseudo-parallel hypersurface is either a totally geodesic hypersurface, a minimal rotation hypersurface or a cylinder over a generalized Clifford torus in S-n. Moreover, we prove that any pseudo-parallel hypersurface is a pseudo-symmetric manifold in the sense of R. Deszcz. (C) 2018 Elsevier B.V. All rights reserved.
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