Harmonic morphisms from the compact semisimple Lie groups and their non-compact duals

Summary, in English

In this paper we prove the local existence of complex-valued harmonic morphisms from any compact semisimple Lie group and their non-compact duals. These include all Riemannian symmetric spaces of types II and IV. We produce a variety of concrete harmonic morphisms from the classical compact simple Lie groups SO(n), SU(n), Sp(n) and globally defined solutions on their non-compact duals SO(n, C)/SO(n), SLn (C)/SU(n) and Sp(n, C)/Sp(n). (c) 2005 Elsevier B.V. All rights reserved.

• Författare: Sigmundur Gudmundsson; Martin Svensson
• Avdelning/ar: Matematik (naturvetenskapliga fakulteten); Differential Geometry
• Publiceringsår: 2006
• Språk: Engelska
• Sidor: 351-366
• Publikation/Tidskrift/Serie: Differential Geometry and its Applications
• Volym: 24
• Issue: 4
• Länkar: http://dx.doi.org/10.1016/j.difgeo.2005.12.003
• Dokumenttyp: Artikel i tidskrift
• Förlag: North-Holland
• Ämne: Geometry
• Nyckelord: symmetric spaces; harmonic morphisms; minimal submanifolds
• Status: Published
• Forskningsgrupp: Differential Geometry
• ISBN/ISSN/Övrigt: ISSN: 1872-6984