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On the existence of harmonic morphisms from certain symmetric spaces

Sigmundur Gudmundsson·Martin Svensson
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Abstract

In this paper we give a positive answer to the open existence problem for complex-valued harmonic morphisms from the non-compact irreducible Riemannian symmetric spaces $SL_n(R)/SO(n)$, $SU^*(2n)/Sp(n)$ and their compact duals $SU(n)/SO(n)$ and $SU(2n)/Sp(n)$. Furthermore we prove the existence of globally defined, complex-valued harmonic morphisms from any Riemannian symmetric space of type IV.

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Sigmundur Gudmundsson, Martin Svensson. 2006-03-13. On the existence of harmonic morphisms from certain symmetric spaces. https://doi.org/10.1016/j.geomphys.2006.03.008

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