On the existence of harmonic morphisms from certain symmetric spaces

Summary, in English

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 SLn (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.

• Författare: Sigmundur Gudmundsson; Martin Svensson
• Avdelning/ar: Matematik (naturvetenskapliga fakulteten); Differential Geometry
• Publiceringsår: 2007
• Språk: Engelska
• Sidor: 353-366
• Publikation/Tidskrift/Serie: Journal of Geometry and Physics
• Volym: 57
• Issue: 2
• Länkar: http://dx.doi.org/10.1016/j.geomphys.2006.03.008
• Dokumenttyp: Artikel i tidskrift
• Förlag: Elsevier
• Ämne: Geometry
• Nyckelord: minimal submanifolds; symmetric spaces; harmonic morphisms
• Status: Published
• Forskningsgrupp: Differential Geometry
• ISBN/ISSN/Övrigt: ISSN: 0393-0440