In this paper, we study biconservative submanifolds in Sn×R and Hn×R with parallel mean curvature
vector field and co-dimension 2. We obtain some necessary and sufficient
conditions for such submanifolds to be conservative. In particular, we obtain a
complete classification of 3-dimensional biconservative submanifolds in
S4×R and H4×R with
nonzero parallel mean curvature vector field. We also get some results for
biharmonic submanifolds in Sn×R and
Hn×R.Comment: 17 page