# Positivity of Brown-York mass with quasi-positive boundary data

## TL;DR

This paper proves the positivity of the Brown-York mass under quasi-positive boundary conditions, extending previous results, and establishes a related rigidity theorem.

## Contribution

It introduces a generalized positivity result for Brown-York mass with quasi-positive boundary data and proves a corresponding rigidity theorem.

## Key findings

- Positivity of Brown-York mass under quasi-positive boundary data
- Extension of previous positivity results
- Rigidity theorem for quasi-positive boundary conditions

## Abstract

In this short note, we prove positivity of Brown-York mass under quasi-positive boundary data which generalize some previous results by the authors. The corresponding rigidity result is obtained.