Duke Mathematical Journal

Isometries between the spaces of $L^1$ holomorphic quadratic differentials on Riemann surfaces of finite type

Clifford J. Earle and V. Markovic

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Abstract

By applying the methods of V. Markovic [7] to the special case of Riemann surfaces of finite type, we obtain a transparent new proof of a classical result about isometries between the spaces of $L^1$ holomorphic quadratic differentials on such surfaces.

Article information

Source
Duke Math. J., Volume 120, Number 2 (2003), 433-440.

Dates
First available in Project Euclid: 16 April 2004

Permanent link to this document
https://projecteuclid.org/euclid.dmj/1082138591

Digital Object Identifier
doi:10.1215/S0012-7094-03-12029-3

Mathematical Reviews number (MathSciNet)
MR2019983

Zentralblatt MATH identifier
1063.30038

Subjects
Primary: 30F10: Compact Riemann surfaces and uniformization [See also 14H15, 32G15]
Secondary: 30F60: Teichmüller theory [See also 32G15]

Citation

Earle, Clifford J.; Markovic, V. Isometries between the spaces of $L^1$ holomorphic quadratic differentials on Riemann surfaces of finite type. Duke Math. J. 120 (2003), no. 2, 433--440. doi:10.1215/S0012-7094-03-12029-3. https://projecteuclid.org/euclid.dmj/1082138591


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References

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