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.
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页码：844 / 856
页数：13
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