# A criterion for uniqueness of tangent cones at infinity for minimal surfaces

## TL;DR

This paper addresses a conjecture about the asymptotic behavior of minimal surfaces in three-dimensional space with quadratic area growth, providing partial resolution and insights into their tangent cones at infinity.

## Contribution

It offers a partial resolution to Meeks' conjecture regarding the uniqueness of tangent cones at infinity for minimal surfaces with quadratic area growth.

## Key findings

- Partial resolution of Meeks' conjecture
- Insights into tangent cones at infinity
- Advances understanding of minimal surface asymptotics

## Abstract

We partially resolve a conjecture of Meeks on the asymptotic behavior of minimal surfaces in $\mathbb{R}^3$ with quadratic area growth.