杀旋量和超曲面

IF 0.6 4区数学 Q3 MATHEMATICS

International Journal of Mathematics Pub Date : 2024-05-21 DOI:10.1142/s0129167x24500356

Diego Conti, Romeo Segnan Dalmasso

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引用次数: 0

摘要

我们考虑具有爱因斯坦度量（黎曼度量或不定度量）的自旋流形，其中存在一个基林旋量。我们用一对诱导旋量满足的 PDE（类似于广义基林旋量方程）来描述非enerate 超曲面的本征几何。反过来，我们证明了携带一对满足此条件的旋量的实解析伪黎曼流形的嵌入结果。

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Killing spinors and hypersurfaces

We consider spin manifolds with an Einstein metric, either Riemannian or indefinite, for which there exists a Killing spinor. We describe the intrinsic geometry of nondegenerate hypersurfaces in terms of a PDE satisfied by a pair of induced spinors, akin to the generalized Killing spinor equation.

Conversely, we prove an embedding result for real analytic pseudo-Riemannian manifolds carrying a pair of spinors satisfying this condition.

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来源期刊

International Journal of Mathematics 数学-数学

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

12 months

期刊介绍： The International Journal of Mathematics publishes original papers in mathematics in general, but giving a preference to those in the areas of mathematics represented by the editorial board. The journal has been published monthly except in June and December to bring out new results without delay. Occasionally, expository papers of exceptional value may also be published. The first issue appeared in March 1990.