Constrained Willmore Surfaces: Symmetries of a Möbius Invariant Integrable SystemFrom B cklund to Darboux, this monograph presents a comprehensive journey through the transformation theory of constrained Willmore surfaces, a topic of great importance in modern differential geometry and, in particular, in the field of integrable systems in Riemannian geometry. The first book on this topic, it discusses in detail a spectral deformation, B cklund transformations and Darboux transformations, and proves that all these transformations