Complex-valued (p,q)-harmonic morphisms from Riemannian manifolds

2020/06/02 by Ghandour, Elsa, Gudmundsson, Sigmundur
#53C43 #58E20 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2006.01798

Abstract

We introduce the natural notion of (p,q)-harmonic morphisms between Riemannian manifolds. This unifies several theories that have been studied during the last decades. We then study the special case when the maps involved are complex-valued. For these we find a characterisation and provide new non-trivial examples in important cases.

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