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
DOI:
https://doi.org/10.1090/S0002-9939-1988-0969051-7
MathSciNet review:
969051
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Abstract | References | Similar Articles | Additional Information
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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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1988-0969051-7
Article copyright:
© Copyright 1988
American Mathematical Society