MINIMAL SURFACES AND HARMONIC DIFFEOMORPHISMS FROM THE COMPLEX PLANE ONTO CERTAIN HADAMARD SURFACES By JOSÉ A. GÁLVEZ and HAROLD ROSENBERG
نویسنده
چکیده
We construct harmonic diffeomorphisms from the complex plane C onto any Hadamard surface M whose curvature is bounded above by a negative constant. For that, we prove a JenkinsSerrin type theorem for minimal graphs in M × R over domains of M bounded by ideal geodesic polygons and show the existence of a sequence of minimal graphs over polygonal domains converging to an entire minimal graph in M× R with the conformal structure of C.
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تاریخ انتشار 2010