Uniformization of Symmetric Riemann Surfaces by Schottky Groups |
Common terms and phrases
analytic Jordan curves anti-conformal anti-Möbius transformation Beltrami equation closed analytic Jordan compatible conformal map connected plane domain cross caps diametrically opposed points DIASYMMETRIC SURFACES disjoint circles fundamental domain symmetric genus g group G holes homeomorphism identified pairs interior K₁ Koebe Theorem leaves fixed map of C-L)/G maps the exterior Mobius Möbius transformation model of type multiply connected plane non-degenerate continua obtain ORTHOSYMMETRIC pairs of circles pairs of Jordan pairs of quasicircles pairs of symmetrically plane domain bounded quasi conformal map quasicircle is identified represented by reflection respect to reflection Ro(z ROOQ satisfying Schottky group situated Jordan curves situated with respect standard fundamental domain standard model surface of genus surface of type symmetric of type symmetric Riemann surface symmetric surface symmetric with respect symmetrically situated circles symmetrically situated Jordan symmetry Ø transition curves type g unit circle w₂ WM(z