A uniqueness theorem of reflectable deformations of a Fuchsian group
Author: Jharna Sengupta
Journal: Proc. Amer. Math. Soc. 104 (1988), 1148-1152
MSC: Primary 30F30; Secondary 20H10, 30F35, 32G15
MathSciNet review: 969051
Abstract: Let be a Fuchsian group of signature ; . Let be a maximal set of inequivalent components of ; is the region of discontinuity and is the extended real line. Let be a quadratic differential for . Let be a solution of the Schwarzian differential equation . If is reflectable, maps each into a circle . For each there is a Moebius transformation such that . We prove that is determined by the homomorphism and the circles .
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