4 papers
Harmonic morphisms and minimal submanifolds
Oskar Riedler
Harmonic morphisms, maps which preserve Laplace's equation, are intimately connected to the topic of minimal submanifolds. In this article we first characterise harmonic morphisms…
Scalar-rigid submersions are Riemannian products
Oskar Riedler, Thomas Tony
Scalar-rigid maps are Riemannian submersions by works of Llarull, Goette--Semmelmann, and the second named author. In this article we show that they are essentially Riemannian prod…
Polynomial harmonic morphisms and eigenfamilies on spheres
Oskar Riedler
The eigenfamilies of Gudmundsson and Sakovich can be used to generate harmonic morphisms, proper -harmonic maps, and minimal co-dimension submanifolds. This article begins b…
Global eigenfamilies on closed manifolds
Oskar Riedler, Anna Siffert
We study globally defined -eigenfamilies on closed Riemannian manifolds. Among others, we provide (non-)existence results for such eigenfamilies, examine their topological…