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arXiv · 1310.5679

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

Ricardo Sa Earp·Eric Toubiana
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Abstract

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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Ricardo Sa Earp, Eric Toubiana. 2013-10-17. A minimal stable vertical planar end in H^2 x R has finite total curvature. https://doi.org/10.1112/jlms%2Fjdv044

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