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arXiv · 2003.00634

A simple proof of curvature estimate for convex solution of $k$-Hessian equation

Jianchun Chu
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Abstract

Guan-Ren-Wang established the curvature estimate of convex hypersurface satisfying the Weingarten curvature equation $σ_{k}(κ(X)) = f(X,ν(X))$. In this note, we give a simple proof of this result.

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Jianchun Chu. 2020-05-17. A simple proof of curvature estimate for convex solution of $k$-Hessian equation. https://arxiv.org/abs/2003.00634

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