Speaker
Dr
Giannis Polychrou
(Aristotle University of Thessaloniki)
Description
We study harmonic maps from a subset of the complex plane to a subset of the hyperbolic plane. In Fotiadis and Daskaloyannis (Nonlinear Anal 214, 112546, 2022), harmonic maps are related to the sinh-Gordon equation and a Bäcklund 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.
Primary author
Dr
Giannis Polychrou
(Aristotle University of Thessaloniki)
Co-authors
Dr
Effie Papageorgiou
(Institute of Mathematics, Paderborn University)
Prof.
Anestis Fotiadis
(Aristotle University of Thessaloniki)
Prof.
Constantine Daskaloyannis
(Aristotle University of Thessaloniki)