Asymptotically euclidean manifolds and twister spinors

被引:13
作者
Kuhnel, W [1 ]
Rademacher, HB
机构
[1] Univ Stuttgart, Inst Math B, D-70550 Stuttgart, Germany
[2] Univ Leipzig, Math Inst, D-04109 Leipzig, Germany
关键词
D O I
10.1007/s002200050414
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Based on the Berger-Simons holonomy classification, we characterize all Riemannian spin manifolds carrying a twister spinor with at least one zero. In particular, the dimension n of the manifold is either even or n = 7, Outside the set of zeros of the twister spinor the metric is conformal to either a flat metric or a Ricci flat and locally irreducible metric.
引用
收藏
页码:67 / 76
页数:10
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