# Minimal Surfaces in H^2xR

## TL;DR

This paper addresses the asymptotic Plateau Problem for minimal surfaces in hyperbolic space cross real line, providing a comprehensive characterization of boundary curves that bound minimal surfaces.

## Contribution

It offers a near-complete solution to the problem, identifying which Jordan curves in the asymptotic boundary can bound minimal surfaces in H^2xR.

## Key findings

- Characterization of boundary curves bounding minimal surfaces
- Identification of the collection of Jordan curves in the asymptotic boundary
- Complete solution to the asymptotic Plateau Problem 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.

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Source: https://tomesphere.com/paper/1908.01451