Complex-Valued Harmonic Morphisms and p-Harmonic Functions on Compact Riemannian Lie Groups
In this Master’s thesis, we describe two recent methods aimed at constructing complex-valued harmonic morphisms and p-harmonic functions on Riemannian manifolds. The main tools for these constructions are the common eigenfunctions of the classical Laplace-Beltrami operator τ and the recently introduced conformality operator κ. We then apply the above methods for constructing solutions on the compa
