Harmonic maps and asymptotic Teichmüller space. (English) Zbl 1132.30025
The asymptotic behavior of the Beltrami coefficient of a harmonic mapping is studied and certain compactness properties of harmonic maps are established. It is shown that if \(f\) is a quasiconformal harmonic diffeomorphism between two Riemann surfaces and homotopic to an asymptotically conformal map modulo boundary, then \(f\) is asymptotically conformal itself.
Reviewer: Matti Vuorinen (Turku)
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