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For the minimal graph with strict convex level sets, we find an auxiliaryfunction to study the Gaussian curvature of the level sets. We prove that thiscurvature function is a concave function with respect to the height of theminimal surface while this auxiliary function is almost sharp when the minimalsurface is the Catenoid.

The Concavity of the Gaussian Curvature of the convex level sets of minimal surface with respect to the height