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

Earle, Clifford J.; Markovic, V.

Duke Math. J. 120, No. 2, 433-440 (2003).

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.

Reviewer: Steffen Timmann (Hannover)

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