2 citations · 2 across the 6 of their papers we have counts for
6 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…
-eigenfunctions on compact manifolds
Thomas Jack Munn, Oskar Riedler
In this note we study -eigenfamilies on compact Riemannian manifolds when . We show that any compact manifold admitting a -eigenfunction is a mapping torus and…
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 p…
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…
Closed embedded self-shrinkers of mean curvature flow
Oskar Riedler
In this article we show the existence of closed embedded self-shrinkers in that are topologically of type , where is any isoparametric h…