Resumen de Linearization and explicit solutions of the minimal surface equation
We show that the apparatus of support functions, usually used in convex surfaces theory, leads to the linear equation ?h + 2h = 0 describing locally germs of minimal surfaces. Here ? is the Laplace-Beltrami operator on the standard two-dimensional sphere. It explains the existence of the sum operator of minimal surfaces, introduced recently. In 4-dimensional space the equation ? h + 2h = 0 becomes inequality wherever the Gauss curvature of a minimal hypersurface is nonzero.
