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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A comparison of metrics on Teichmüller space


Author: Michele Linch
Journal: Proc. Amer. Math. Soc. 43 (1974), 349-352
MSC: Primary 32G15
MathSciNet review: 0338453
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Abstract: The length in the Weil-Petersson metric of the Teichmüller geodesic between two points is computed, yielding the result that the Weil-Petersson metric is dominated by a constant multiple of the Teichmüller metric.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0338453-4
PII: S 0002-9939(1974)0338453-4
Keywords: Teichmüller space, Riemann surface, Beltrami differential, quasiconformal mapping, Teichmüller metric, Weil-Petersson metric
Article copyright: © Copyright 1974 American Mathematical Society