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<p>The Gaussian curvature of the graphs of holomorphic functions is analyzed and compared to the Lipschitz-Killing curvature. Some integral calculations of the curvature are made and these are applied to the Laplacian and the mean value property.</p>

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On the Gaussian Curvature of Graphs of Holomorphic Functions

  • 期刊论文

  • 发表日期：

    2025年10月23日

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  • Manuel Cruz-López,
  • Otto Romero

摘要

The Gaussian curvature of the graphs of holomorphic functions is analyzed and compared to the Lipschitz-Killing curvature. Some integral calculations of the curvature are made and these are applied to the Laplacian and the mean value property.