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math.DG2025
Explicit harmonic and wave maps into variable-curvature surfaces
Anestis Fotiadis, Giannis Polychrou
Explicit harmonic and wave maps are typically available only in highly symmetric or constant-curvature settings, where additional symmetry or integrability structures are present.…
math.DG2021
New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation
Giannis Polychrou, Effie Papageorgiou, Anestis Fotiadis +1
We study harmonic maps from a subset of the complex plane to a subset of the hyperbolic plane. In \cite{FotDask}, harmonic maps are related to the sinh-Gordon equation and a B{ä}ck…
math.DG2019
Beltrami equation for the harmonic diffeomorphisms between surfaces
Anestis Fotiadis, Costas Daskaloyannis
In this article it is shown that the study of harmonic diffeomorphisms, with nonvanishing Hopf differential, reduces to the study of the Beltrami equation of a certain type: the im…