Skew Killing spinors

被引：1

作者：

Habib, Georges ^{[1
]}

Roth, Julien ^{[2
]}

机构：

[1] Lebanese Univ, Fac Sci 2, Dept Math, Fanar Matn 90656, Lebanon

[2] Univ Paris Est Marne la Vallee, Lab Anal & Math Appl, F-77454 Marne La Vallee 2, France

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2012年 / 10卷 / 03期

关键词：

Spin structures; Isometric immersions; Symmetric Codazzi tensor; Conformally flat;

D O I：

10.2478/s11533-012-0029-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the existence of a skew Killing spinor on 2- and 3-dimensional Riemannian spin manifolds. We establish the integrability conditions and prove that these spinor fields correspond to twistor spinors in the two dimensional case while, up to a conformal change of the metric, they correspond to parallel spinors in the three dimensional case.

引用

页码：844 / 856

页数：13

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