Conformally converting cusps to cones
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- by Christopher M. Judge
- Conform. Geom. Dyn. 2 (1998), 107-113
- DOI: https://doi.org/10.1090/S1088-4173-98-00024-1
- Published electronically: December 8, 1998
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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 $E_2$.References
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Bibliographic Information
- Christopher M. Judge
- Affiliation: Indiana University, Bloomington, Indiana
- MR Author ID: 349512
- Email: cjudge@poincare.math.indiana.edu
- 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
- © Copyright 1998 American Mathematical Society
- Journal: Conform. Geom. Dyn. 2 (1998), 107-113
- MSC (1991): Primary 30F10; Secondary 35J60, 53A30
- DOI: https://doi.org/10.1090/S1088-4173-98-00024-1
- MathSciNet review: 1657563