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.
Titolo: | A Schoen theorem for minimal surfaces in H^2xR |
Autori: | |
Data di pubblicazione: | 2015 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/11697/5283 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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