Conformal Geometry and Dynamics

ISSN 1088-4173



Conformally converting cusps to cones

Author: Christopher M. Judge
Journal: Conform. Geom. Dyn. 2 (1998), 107-113
MSC (1991): Primary 30F10; Secondary 35J60, 53A30
Published electronically: December 8, 1998
MathSciNet review: 1657563
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Abstract: Conformal deformations of hyperbolic surfaces with conical singularities are shown to be real-analytic. The first nontrivial term in the power series expansion around a cusped surface is shown to be a multiple of the Eisenstein series $E_2$.

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Additional Information

Christopher M. Judge
Affiliation: Indiana University, Bloomington, Indiana

Keywords: Eisenstein series, hyperbolic surface
Received by editor(s): January 20, 1998
Received by editor(s) in revised form: November 16, 1998
Published electronically: December 8, 1998
Additional Notes: Manuscript preparation supported in part by NSF DMS 9304580 (IAS) and an NSF postdoctoral fellowship
Article copyright: © Copyright 1998 American Mathematical Society