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

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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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DOI:
http://dx.doi.org/10.1090/S0002-9939-1988-0969051-7

Article copyright:
© Copyright 1988
American Mathematical Society