We study graphs of constant mean curvature H > 0 in M × R for M a Hadamard surface, ie a complete simply connected surface with curvature bounded above by a negative constant -a. We find necessary and sufficient conditions for the existence of these graphs over bounded domains in M, having prescribed boundary data, possibly infinite.
展开▼
机译：我们研究M a Hadamard曲面的M×R中恒定平均曲率H> 0的图，这是一个Hadamard曲面，即曲率由负常数-a界定的完整的简单连接曲面。我们找到了在具有指定边界数据（可能是无限的）的M中的有界域上存在这些图的必要和充分条件。
展开▼
