A class of Osserman spaces

被引：13

作者：

Alekseevsky, DV

Blazic, N

Cortes, V

Vukmirovic, S

机构：

[1] Univ Nancy 1, Fac Sci, Inst Math Elie Carton, BP 239, F-54506 Vandoeuvre Les Nancy, France

[2] Univ Hull, Dept Math, Kingston Upon Hull HU6 7RX, N Humberside, England

[3] Univ Belgrade, Dept Math, YU-11000 Belgrade, Serbia

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2005年 / 53卷 / 03期

关键词：

symmetric spaces; hyper-Kahler manifolds; para-hyper-Kahler manifolds; Osserman spaces;

D O I：

10.1016/j.geomphys.2004.07.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a symmetric space is Osserman if its complexification is a complex hyper-Kahler symmetric space. This includes all pseudo-hyper-Kahler as well as para-hyper-Kahler symmetric spaces. We extend the classification of pseudo-hyper-Kahler symmetric spaces obtained by the first and the third author to the class of para-hyper-Kahler symmetric spaces. These manifolds are possible targets for the scalars of rigid N = 2 supersymmetric field theories with hypermultiplets on four-dimensional space-times with Euclidean signature. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：345 / 353

页数：9