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Isometries between the spaces of \(L^1\) holomorphic quadratic differentials on Riemann surfaces of finite type. (English) Zbl 1063.30038

Authors’ abstract: By applying the methods of V. Markovic [ibid. 120, 405–431 (2003; Zbl 1056.30045)] 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.

MSC:

30F10 Compact Riemann surfaces and uniformization
30F30 Differentials on Riemann surfaces
30F60 Teichmüller theory for Riemann surfaces
32G15 Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables)

Citations:

Zbl 1056.30045
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