TY - JOUR
T1 - Harmonic morphisms from the classical compact semisimple Lie groups
AU - Gudmundsson, Sigmundur
AU - Sakovich, Anna
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
KW - Lie groups
KW - Harmonic morphisms
KW - Minimal submanifolds
U2 - 10.1007/s10455-007-9090-8
DO - 10.1007/s10455-007-9090-8
M3 - Article
SN - 1572-9060
VL - 33
SP - 343
EP - 356
JO - Annals of Global Analysis and Geometry
JF - Annals of Global Analysis and Geometry
IS - 4
ER -