Harmonic morphisms from the compact semisimple Lie groups and their non-compact duals |
| |
Authors: | Sigmundur Gudmundsson Martin Svensson |
| |
Institution: | Mathematics, Faculty of Science, Lund University, Box 118, S-221 00 Lund, Sweden |
| |
Abstract: | 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). |
| |
Keywords: | 58E20 53C43 53C12 |
本文献已被 ScienceDirect 等数据库收录! |
|