New examples of conformally constrained Willmore minimizers of explicit type

Abstract

AbstractWe develop a convergence procedure to improve weak convergence of conformally constrained Willmore immersions to smooth convergence and apply this to get new examples of conformally constrained Willmore minimizers of explicit type. In fact by estimates of Li–Yau in [Inventiones Mathematicae 69 (1982), 269–291] and Montiel–Ros in [Inventiones Mathematicae 83 (1986), 153–166], the Clifford torus