What to read after Introduction to Möbius Differential Geometry?

An introduction, at a basic level, to the conformal differential geometry of surfaces and submanifolds is given. That is, the book discusses those aspects of the geometry of surfaces that does only refer to an angle measurement but not to a length measurement. Different methods (models) to think about their geometry as well as to do computations are presented. Various applications to areas of current research interest are discussed, including discrete net theory and certain relations between differential geometry and integrable systems theory.