Abstract
We introduce a new existence result for compact normal geodesic graphs with constant mean curvature and boundary in a class of warped product spaces. In particular, our result includes that of normal geodesic graphs with constant mean curvature in hyperbolic space \({\mathbb{H}^{n+1}}\) over a bounded domain in a totally geodesic \({\mathbb{H}^{n} \subset \mathbb{H}^{n+1}}\) .
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Alías, L.J., Dajczer, M. Constant mean curvature graphs in a class of warped product spaces. Geom Dedicata 131, 173–179 (2008). https://doi.org/10.1007/s10711-007-9225-x
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DOI: https://doi.org/10.1007/s10711-007-9225-x