The Action Lab described “Minimal Surfaces” as “The Shapes that Help Us Understand Black Holes”.
A minimal surface (which you see in reality with a soap bubble held by surface tension) is one where the second derivative of the curvature at any point is zero.
That’s not the same thing as the minimum surface area – which will be attained by a perfect sphere.
Wikipedia: embed of a helicoid, click for attribution. Another kind of minimal surface will be the catenoid.