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math.DG2025
Minimal surfaces over the Pitot quadrilaterals
Vladimir DragoviÄ, David Kalaj
We develop a fully explicit framework for constructing Scherk-type minimal graphs over the Pitot quadrilaterals (i.e. such that the two pairs of opposite sides have the same total…
math.DG2025
On a sharp form of curvature conjecture for minimal graphs
David Kalaj
Recently, the author and MelentijeviÄ resolved the longstanding Gaussian curvature problem by proving the sharp inequality \[ |\mathcal{K}| < c_0 = \frac{Ï^2}{2} \] for minimal g…