Density theorems for complete minimal surfaces in R³

الأصل · EN

In this paper we have proved several approximation theorems for the family of minimal surfaces in R³ that imply, among other things, that complete minimal surfaces are dense in the space of all minimal surfaces endowed with the topology of Cᵏ convergence on compact sets, for any k. As a consequence of the above density result, we have been able to produce the first example of a complete proper minimal surface in R³ with uncountably many ends.