Giannis Polychrou, Effie Papageorgiou, Anestis Fotiadis, Costas Daskaloyannis
Published 2021-12-13, updated 2023-06-01Version 3
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{\"a}cklund transformation is introduced, which connects solutions of the sinh-Gordon and sine-Gordon equation. We develop this machinery in order to construct new harmonic maps to the hyperbolic plane.
The Funk-Finsler structure on the unit disc in the hyperbolic plane
Embedded loops in the hyperbolic plane with prescribed, almost constant curvature
Harmonic Maps with Potentials
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