A Schoen Theorem for Minimal Surfaces in H × R

Abstract

In this paper we prove that a complete minimal surface immersed in H × R, with finite total curvature and two ends, each one asymptotic to a vertical geodesic plane, must be a model surface. Moreover, we give a geometric description of minimal ends of finite total curvature in H × R.

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Cite this paper

@inproceedings{Hauswirth2012AST, title={A Schoen Theorem for Minimal Surfaces in H × R}, author={Laurent Hauswirth and BARBARA NELLI and Ricardo Sa Earp and Eric Toubiana}, year={2012} }