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A simple proof of curvature estimate for convex solution of 𝑘-Hessian equation
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2021-05-07 , DOI: 10.1090/proc/15408
Jianchun Chu

Abstract:Guan-Ren-Wang [Comm. Pure Appl. Math. 68 (2015), pp. 1287–1325] established the curvature estimate of convex hypersurface satisfying the Weingarten curvature equation $\sigma _{k}(\kappa (X)) = f(X,\nu (X))$. In this note, we give a simple proof of this result.


中文翻译:

𝑘-Hessian 方程凸解的曲率估计的简单证明

摘要:管仁王 [Comm. 纯应用 数学。68 (2015), pp. 1287–1325] 建立了满足 Weingarten 曲率方程 $\sigma _{k}(\kappa (X)) = f(X,\nu (X))$ 的凸超曲面的曲率估计。在这篇笔记中,我们给出了这个结果的简单证明。
更新日期:2021-06-04
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