Isothermic surfaces in sphere geometries as Moutard nets
Isothermic surfaces in sphere geometries as Moutard nets
We give an elaborated treatment of discrete isothermic surfaces and their analogues in different geometries (projective, Möbius, Laguerre and Lie). We find the core of the theory to be a novel characterization of discrete isothermic nets as Moutard nets. The latter are characterized by the existence of representatives in the …