In this paper we prove a Schoen type theorem for minimal surfaces in H2 × R. Namely, a complete minimal surface immersed in H2 × R with finite total curvature and two ends, each one asymptotic to a vertical geodesic plane, must be a model surface. Moreover, we develop a detailed study of the geometry of the minimal ends of finite total curvature in H2 × R.
A Schoen theorem for minimal surfaces in H^2xR
NELLI, BARBARA;
2015-01-01
Abstract
In this paper we prove a Schoen type theorem for minimal surfaces in H2 × R. Namely, a complete minimal surface immersed in H2 × R with finite total curvature and two ends, each one asymptotic to a vertical geodesic plane, must be a model surface. Moreover, we develop a detailed study of the geometry of the minimal ends of finite total curvature in H2 × R.File in questo prodotto:
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