There are many examples of minimal functions/surfaces throught internet (

Minimal Surfaces -- from Wolfram MathWorld). And i even found smth like parametrization of ALL minimal surfaces (

Minimal Surface -- from Wolfram MathWorld). But i cannot get properties of such space of minimal functions. As, let say, subspace of integrable functions in \(\displaystyle R^2\). I'm interest in next questions. Will be this space infinite-dimensional (it's trivial, yes - there are many pairs of analytic and

meromorphic functions).

Will it be connected in topological space?