A minimal stable vertical planar end in H^2 x R has finite total curvature
Differential Geometry
2017-05-17 v1
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.
Keywords
Cite
@article{arxiv.1310.5679,
title = {A minimal stable vertical planar end in H^2 x R has finite total curvature},
author = {Ricardo Sa Earp and Eric Toubiana},
journal= {arXiv preprint arXiv:1310.5679},
year = {2017}
}
Comments
15 pages