Harmonic morphisms from the classical compact semisimple Lie groups
微分几何
2007-05-23 v3
摘要
In this paper 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 SL(n,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.
引用
@article{arxiv.math/0611574,
title = {Harmonic morphisms from the classical compact semisimple Lie groups},
author = {Sigmundur Gudmundsson and Anna Sakovich},
journal= {arXiv preprint arXiv:math/0611574},
year = {2007}
}
备注
14 pages; minor changes