Parallel pure spinors on pseudo-Riemannian manifolds

被引：3
|
作者：
Kath, I [1 ]
机构：
[1] Humboldt Univ, Inst Math, D-10099 Berlin, Germany
来源：
GEOMETRY AND TOPOLOGY OF SUBMANIFOLDS X: DIFFERENTIAL GEOMETRY IN HONOR OF PROF S.S. CHERN | 2000年
关键词：
pure spinors; parallel spinors; optical structures;
D O I：
10.1142/9789812792051_0008
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to investigate the relation between properties of projective pure spinors and the associated almost optical structures on pseudo-Riemannian spin manifolds. A projective pure spinor is parallel if and only if the associated almost optical structure is parallel. We will calculate the curvature condition for the existence of a global parallel representative of such a projective spinor. Moreover, we specialize these results to metrics of signature (m, m) and (m + 1, m).
引用
收藏
页码：87 / 103
页数：17
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