Harmonic morphisms from the Grassmannians and their non-compact duals

2006/03/13 by Sigmundur Gudmundsson, Gudmundsson, Sigmundur, Martin Svensson +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Geometric Analysis and Curvature Flows #math.DG #msc:53C12 #msc:53C43 #msc:58E20

paper · pdf · doi:10.48550/arxiv.math/0603288

21 pages

arxiv created 2006/03/13 · arxiv updated 2009/12/01

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.

Related

• Explicit harmonic morphisms and p-harmonic functions from the complex and quaternionic Grassmannians
• Complex-valued (p,q)-harmonic morphisms from Riemannian manifolds
• Hermitian structures and harmonic morphisms in higher dimensional Euclidean spaces
• Harmonic maps into Grassmannian manifolds
• Harmonic Morphisms and p-Harmonic Functions on the Classical Compact Symmetric Spaces via the Cartan Embedding