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Curvature estimate of the $k$-th shifted mean curvature equation in hyperbolic space

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In this paper, we establish a curvature estimate of convex solutions for $k$-th shifted mean curvature equation in hyperbolic space. Additionally, we provide a new proof of Tu's work \cite{Tu21} on global curvature estimates for shifted Gauss curvature equations.

Abstract

In this paper, we establish a curvature estimate of convex solutions for $k$-th shifted mean curvature equation in hyperbolic space. Additionally, we provide a new proof of Tu's work \cite{Tu21} on global curvature estimates for shifted Gauss curvature equations.

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