A minimal stable vertical planar end in H^2 x R has finite total curvature

Eric Toubiana; Ricardo Sa Earp

arxiv: 1310.5679 · v1 · pith:MINR536Fnew · submitted 2013-10-17 · 🧮 math.DG

A minimal stable vertical planar end in H² x R has finite total curvature

Ricardo Sa Earp , Eric Toubiana This is my paper

classification 🧮 math.DG

keywords verticalcurvaturefiniteminimalstabletotalannularasymptotic

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We prove that a minimal oriented stable annular end in H^2 x R whose asymptotic boundary is contained in two vertical lines has finite total curvature and converges to a vertical plane. Furthermore, if the end is embedded then it is a horizontal graph.

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A minimal stable vertical planar end in H² x R has finite total curvature

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