Harmonic morphisms: Minimal submanifolds and polynomials

15.05.2025, 16:15  –  Haus 9, Raum 1.22
Forschungsseminar Differentialgeometrie

Oskar Riedler

Harmonic morphisms between Riemannian manifolds can be defined as those maps preserving Laplace’s equation. They form an interesting class of maps and are intimately connected to minimal submanifolds.

In this talk we discuss new methods on how to generate minimal submanifolds from harmonic morphisms and apply these to the special case where the harmonic morphisms are polynomial maps between Euclidean spaces. Along the way we give some new constructions of such polynomial harmonic morphisms.