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Harmonic morphisms from the Grassmannians and their non-compact duals

Sigmundur Gudmundsson, Martin Svensson

math.DGarXiv:math/0603288

Abstract

In this paper we give a unified framework for the construction of complex valued harmonic morphisms from the real, complex and quaternionic Grassmannians and their non-compact duals. This gives a positive answer to the corresponding open existence problem in the real and quaternionic cases.

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