Discrete conformal structures on surfaces with boundary (II) -- Rigidity and Existence
Abstract
In X-Z DCS1, we introduced discrete conformal structures on surfaces with boundary via an axiomatic framework, and provided a classification of such discrete conformal structures. The present work focuses on the rigidity and existence of these discrete conformal structures on surfaces with boundary. As a direct consequence, the results by Guo-Luo in GL2 and Guo in Guo, which deal with the rigidity and existence of discrete conformal structures on surfaces with boundary, are extended to a very general context.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.