Title: Explicit formulas, symmetry and symmetry breaking for Willmore surfaces of revolution,
Abstract: In this paper we prove explicit formulas for all Willmore surfaces of
revolution and demonstrate their use in the discussion of the associated
Dirichlet boundary value problems. It is shown by an explicit example that
symmetric Dirichlet boundary conditions do in general not entail the symmetry
of the surface. In addition we prove a symmetry result for a subclass of
Willmore surfaces satisfying symmetric Dirichlet boundary data.