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The Weil-Petersson geometry on the thick part of the moduli space of Riemann surfaces
Author(s):
Zheng
Huang
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3309-3316.
MSC (2000):
Primary 30F60, 32G15
Posted:
June 21, 2007
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Abstract:
In the thick part of the moduli space of Riemann surfaces, we show that the sectional curvature of the Weil-Petersson metric is bounded independently of the genus of the surface.
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Additional Information:
Zheng
Huang
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
Email:
zhengh@umich.edu
DOI:
10.1090/S0002-9939-07-08868-5
PII:
S 0002-9939(07)08868-5
Received by editor(s):
March 16, 2006
Received by editor(s) in revised form:
July 26, 2006
Posted:
June 21, 2007
Communicated by:
Richard A. Wentworth
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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