On the existence of harmonic morphisms from certain symmetric spaces

被引：3

作者：

Gudmundsson, Sigmundur

Svensson, Martin

机构：

[1] Lund Univ, Fac Sci, S-22100 Lund, Sweden

[2] Univ Leeds, Dept Pure Math, Leeds LS2 9JT, W Yorkshire, England

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2007年 / 57卷 / 02期

关键词：

harmonic morphisms; minimal submanifolds; symmetric spaces;

D O I：

10.1016/j.geomphys.2006.03.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we give a positive answer to the open existence problem for complex-valued harmonic morphisms from the non-compact irreducible Riemannian symmetric spaces SLn (R)/SO(n), SU*(2n)/Sp(n) and their compact duals SU(n)/SO(n) and SU(2n)/Sp(n). Furthermore we prove the existence of globally defined, complex-valued harmonic morphisms from any Riemannian symmetric space of type IV. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：353 / 366

页数：14

共 14 条

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