Preprint A511/2007
Constant mean curvature graphs in a class of warped product spaces

Luis Alias | Dajczer, Marcos

**Keywords: **
Mean curvature | warped product spaces | Dirichlet problem

We give a new existence result for compact with boundary normal geodesic graphs of constant mean curvature in a class of warped product spaces. In particular, our result includes that of normal geodesic graphs with constant mean curvature in hyperbolic space $\Hy^{n+1}$ over a bounded domain in a totally geodesic $\Hy^{n}\subset\Hy^{n+1}$.