27–29 Sept 2024
Department of Mathematics, NKUA
Europe/Athens timezone

New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation

28 Sept 2024, 15:00
40m
Amphitheatre "Konstantin Karatheodory" (Department of Mathematics, NKUA)

Amphitheatre "Konstantin Karatheodory"

Department of Mathematics, NKUA

Panepistimiopolis Zografou Athens, ZipCode 157-84

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)

Presentation materials