On the entire self-shrinking solutions to Lagrangian mean curvature flow II

TL;DR

This paper establishes Bernstein-type results for entire self-shrinking solutions to Lagrangian mean curvature flow, using a priori estimates and barrier constructions in a specific geometric setting.

Contribution

It provides new Bernstein-type theorems for self-shrinking solutions in Lagrangian mean curvature flow, expanding understanding of their geometric properties.

Findings

Bernstein-type results for self-shrinking solutions

Use of a priori estimates and barriers

Results in a specific geometric setting

Abstract

We show Bernstein type results for the entire self-shrinking solutions to Lagrangian mean curvature flow in $(\mathbb{R}^n\times\mathbb{R}^n, g_\tau)$. The proofs rely on a priori estimates and barriers construction.