Among the surfaces , with twice continuously differentiable, a minimal surface is such that in every of its points, the mean curvature vanishes. Because the mean curvature is the arithmetic mean of the principal curvatures and , the equation
is valid in each point of a minimal surface.
A minimal surface has also the property that every sufficiently little portion of it has smaller area than any other regular surface with the same boundary curve.
|Date of creation||2013-03-22 18:08:56|
|Last modified on||2013-03-22 18:08:56|
|Last modified by||pahio (2872)|