TY - JOUR
T1 - Harmonic morphisms from the compact semisimple Lie groups and their non-compact duals
AU - Gudmundsson, Sigmundur
AU - Svensson, Martin
PY - 2006
Y1 - 2006
N2 - 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.
AB - 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.
KW - symmetric spaces
KW - harmonic morphisms
KW - minimal submanifolds
U2 - 10.1016/j.difgeo.2005.12.003
DO - 10.1016/j.difgeo.2005.12.003
M3 - Article
SN - 1872-6984
VL - 24
SP - 351
EP - 366
JO - Differential Geometry and its Applications
JF - Differential Geometry and its Applications
IS - 4
ER -