A simple proof of curvature estimates for the n-1 Hessian equation

TL;DR

This paper provides a straightforward proof of curvature estimates for the n-1 Hessian equation, simplifying the approach originally established by Ren and Wang.

Contribution

It introduces a simplified proof technique for curvature estimates in the n-1 Hessian equation, enhancing understanding and accessibility.

Findings

Simplified proof of curvature estimates

Reinforces the validity of previous results

Potentially broadens applicability of the estimates

Abstract

In [Amer. J. Math. 141 (2019), no. 5, 1281-1315], Ren and Wang proved the curvature estimates for the $n-1$ curvature equation. The purpose of this note is to give a simple proof of their theorem.