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math.DG2021
Explicit -harmonic functions on the real Grassmannians
Elsa Ghandour, Sigmundur Gudmundsson
In this work we use the method of eigenfamilies to construct explicit complex-valued proper -harmonic functions on the compact real Grassmannians. We also find proper -harmon…
math.DG2021
Proper p-harmonic functions and harmonic morphisms on the classical non-compact semi-Riemannian Lie groups
Elsa Ghandour, Sigmundur Gudmundsson
We apply the method of eigenfamilies to construct new explicit complex-valued p-harmonic functions on the non-compact classical Lie groups, equipped with their natural semi-Riemann…
math.DG2021
Proper biharmonic maps and -harmonic morphisms from some wild geometries
Elsa Ghandour, Sigmundur Gudmundsson
In this work we construct a variety of new complex-valued proper biharmonic maps and (2,1)-harmonic morphisms on Riemannian manifolds with non-trivial geometry. These are solutions…