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Conformally converting cusps to cones
Author(s):
Christopher
M.
Judge
Journal:
Conform. Geom. Dyn.
2
(1998),
107-113.
MSC (1991):
Primary 30F10;
Secondary 35J60, 53A30
Posted:
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  .
References:
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- Judge, C., Thesis, Univ. of Maryland (1993).
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- Judge, C. On the Existence of Maass cusp forms on hyperbolic surfaces with cone points, J. Amer. Math. Soc. 8 (1995), 715-759. MR 96b:11069
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- McOwen, R., Point singularities and conformal metrics on Riemann surfaces, Proc. Amer. Math. Soc. 103 (1988), 222-224. MR 89m:30089
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- Wolf, M., Infinite energy harmonic maps and degeneration of hyperbolic surfaces in moduli space, J. Diff. Geom. 33 (1991), 487-539. MR 92b:58055
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35J60, 53A30
Additional Information:
Christopher
M.
Judge
Affiliation:
Indiana University, Bloomington, Indiana
Email:
cjudge@poincare.math.indiana.edu
DOI:
10.1090/S1088-4173-98-00024-1
PII:
S 1088-4173(98)00024-1
Keywords:
Eisenstein series,
hyperbolic surface
Received by editor(s):
January 20, 1998
Received by editor(s) in revised form:
November 16, 1998
Posted:
December 8, 1998
Additional Notes:
Manuscript preparation supported in part by NSF DMS 9304580 (IAS) and an NSF postdoctoral fellowship
Copyright of article:
Copyright
1998,
American Mathematical Society
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