A Lower Bound for the Reach of Flat Norm Minimizers

TL;DR

This paper provides a quantitative lower bound on the reach of flat norm minimizers for boundaries in two-dimensional space, contributing to the understanding of geometric regularity in this context.

Contribution

It introduces a new lower bound for the reach of flat norm minimizers, advancing the theoretical understanding of their geometric properties.

Findings

Established a quantitative lower bound on reach in $\,\mathbb{R}^2$

Improved understanding of geometric regularity of flat norm minimizers

Provides foundational results for further geometric analysis

Abstract

We establish a quantitative lower bound on the reach of flat norm minimizers for boundaries in $\mathbb{R}^2$.