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On the variation of Teichmüller's metric

Published online by Cambridge University Press:  14 November 2011

Frederick P. Gardiner
Frederick P. Gardiner
Affiliation:
Brooklyn College, CUNY, Brooklyn, N.Y.
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Synopsis

The main result of this article is the calculation of the first derivative of Teichmüller's metric from an inequality of Reich and Strebel. Furthermore, from the same inequality one is able to calculate information about the difference quotient for the second derivative. From the techniques used here it does not seem possible to determine whether the metric is C2.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 85 , Issue 1-2 , 1980 , pp. 143 - 152
Copyright
Copyright © Royal Society of Edinburgh 1980

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