Speaker
Prof.
Anestis Fotiadis
(Aristotle University of Thessaloniki)
Description
We study locally harmonic maps between pseudo-Riemannian surfaces.
These maps are classified by the classification of the solutions of a
generalized sine-Gordon equation. We then study the one-soliton solutions
of this equation and we find the corresponding harmonic maps in a unified
way. Finally, we discuss a Backlund transformation of the harmonic map
equations that provides a connection between the solutions of two sineGordon type equations.
Primary author
Prof.
Anestis Fotiadis
(Aristotle University of Thessaloniki)