1988/01/01 by D. B. A. Epstein, Robert Penner · 5 citations
Mathematics · #Mathematics and Applications #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Mathematics #Euclidean geometry #Pure mathematics #Hyperbolic manifold #Hyperbolic space #Mathematical analysis #Hyperbolic function #Geometry
paper · pdf · doi:10.4310/jdg/1214441650
openalex publication_date 1988/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11
In this paper, we introduce a method for dividing up a noncompact hyperbolic manifold of finite volume into canonical Euclidean pieces. The construction first arose in the setting of surfaces (see (The Euclidean structure, of course, is not complete.) The conformal structure underlying this Euclidean structure does not agree with the underlying hyperbolic structure, but the two conformal structures are probably not too distant (cf. Sullivan's theorem