Parallel spinors on Lorentzian Spinc manifolds

被引:6
作者
Ikemakhen, Aziz [1 ]
机构
[1] Univ Cadi Ayyad, Fac Sci & Tech, Marrakech, Morocco
关键词
holonomy groups; Lorentzian spin(c) manifolds; parallel spinors;
D O I
10.1016/j.difgeo.2006.11.008
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We describe the possible holonomy groups of simply connected Lorentzian spin(c) manifolds which admit parallel spinors. In particular, we study the case of simply connected Lorentzian symmetric spaces that admit parallel spinors and we give the complete classification of this type of spaces. (c) 2006 Published by Elsevier B.V.
引用
收藏
页码:299 / 308
页数:10
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