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math.DG2026
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…
math.DG2026
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…