Harmonic morphisms from the classical compact semisimple Lie groups

Summary, in English

In this article, we introduce a new method for manufacturing harmonic morphisms from semi-Riemannian manifolds. This is employed to yield a variety of new examples from the compact Lie groups SO(n), SU(n) and Sp(n) equipped with their standard Riemannian metrics. We develop a duality principle and show how this can be used to construct the first known examples of harmonic morphisms from the non-compact Lie groups SLn(R), SU*(2n), Sp(n,R), SO*(2n), SO(p, q), SU(p, q) and Sp(p, q) equipped with their standard dual semi-Riemannian metrics.

• Författare: Sigmundur Gudmundsson; Anna Sakovich
• Avdelning/ar: Matematik (naturvetenskapliga fakulteten); Differential Geometry
• Publiceringsår: 2008
• Språk: Engelska
• Sidor: 343-356
• Publikation/Tidskrift/Serie: Annals of Global Analysis and Geometry
• Volym: 33
• Issue: 4
• Länkar: http://www.springerlink.com/content/a8u5m47470076237/fulltext.pdf; http://dx.doi.org/10.1007/s10455-007-9090-8
• Dokumenttyp: Artikel i tidskrift
• Förlag: Springer
• Ämne: Geometry
• Nyckelord: Lie groups; Harmonic morphisms; Minimal submanifolds
• Status: Published
• Forskningsgrupp: Differential Geometry
• ISBN/ISSN/Övrigt: ISSN: 1572-9060