On the existence of harmonic morphisms from symmetric spaces of rank one (Q1365301)

As the next step towards the understanding of harmonic morphisms, the author constructs the first known examples of harmonic morphisms from the noncompact quaternionic hyperbolic space \(\mathbb{H} H^n\) into \(\mathbb{C}\). The approach is unified in the sense that it also provides a general framework for constructing harmonic morphisms from \(\mathbb{C} H^n\), \(\mathbb{R} H^{2n+1}\), \(\mathbb{H} P^n\), \(\mathbb{C} P^n\), and \(\mathbb{R} P^{2n+1}\) into \(\mathbb{C}\).