%0 Journal Article
%T Minimal surfaces with the area growth of two planes; the case of infinite symmetry
%A William H. Meeks III
%A Michael Wolf
%J Mathematics
%D 2005
%I arXiv
%X We prove that a connected properly immersed minimal surface in Euclidean 3-space with infinite symmetry group whose intersection with a ball of radius R is less than 2\piR^2 is a plane, a catenoid or a Scherk singly-periodic minimal surface. In particular, we prove that the only periodic minimal desingularization of a pair of intersecting planes is Scherk's singly-periodic minimal surface.
%U http://arxiv.org/abs/math/0501110v1