Minimal Surfaces in H^2xR

Abstract

We give a fairly complete solution to the asymptotic Plateau Problem for minimal surfaces in H^2xR. In particular, we identify the collection of finite Jordan curves in the asymptotic cylinder which bounds a minimal surface in H^2xR.

The statement of the paper is corrected, and counterexamples are studied in arXiv:2008.06583

References in corpus (1)

• On the characterization of minimal surfaces with finite total curvature in ${\mathbb{H}}^2\times \mathbb{R}$ and ${\widetilde{\mathrm{PSL}}}_2(\mathbb{R},\tau )$