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

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/5283
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