Harmonic morphisms from homogeneous Hadamard manifolds

Summary, in English

We present a new method for manufacturing complex-valued harmonic

morphisms from a wide class of Riemannian Lie groups. This yields new

solutions from an important family of homogeneous Hadamard manifolds. We

also give a new method for constructing left-invariant foliations on a large class of Lie groups producing harmonic morphisms.

• Författare: Sigmundur Gudmundsson; Jonas Nordström
• Avdelning/ar: Matematik (naturvetenskapliga fakulteten); Differential Geometry
• Publiceringsår: 2011
• Språk: Engelska
• Sidor: 215-230
• Publikation/Tidskrift/Serie: Annals of Global Analysis and Geometry
• Volym: 39
• Länkar: http://arxiv4.library.cornell.edu/PS_cache/arxiv/pdf/1004/1004.1082v1.pdf; http://dx.doi.org/10.1007/s10455-010-9229-x
• Dokumenttyp: Artikel i tidskrift
• Förlag: Springer
• Ämne: Geometry
• Nyckelord: harmonic morphisms; minimal submanifolds; Lie groups
• Status: Published
• Forskningsgrupp: Differential Geometry
• ISBN/ISSN/Övrigt: ISSN: 1572-9060