Corpus ID: 237266818

Curvature of minimal graphs

  title={Curvature of minimal graphs},
  author={David Kalaj},
  • D. Kalaj
  • Published 21 August 2021
  • Mathematics
We consider the Gaussian curvature conjecture of a minimal graph S over the unit disk. First of all we reduce the general conjecture to the estimating the Gaussian curvature of some Scherk’s type minimal surfaces over a quadrilateral inscribed in the unit disk containing the origin inside. As an application we improve so far the obtained upper estimates of Gaussian curvature at the point above the center. Further we obtain an optimal estimate of the Gaussian curvature at the point w over the… Expand

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