三维李群上的广义杀伤旋量。

IF 0.5 4区数学 Q3 MATHEMATICS

Manuscripta Mathematica Pub Date : 2025-01-01 Epub Date: 2025-02-07 DOI:10.1007/s00229-025-01617-y

Diego Artacho

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引用次数: 0

摘要

给出了三维李群上不变广义杀伤旋量的完整分类。在这种情况下，我们证明了非平凡不变广义杀戮旋量的存在意味着所有不变旋量都是具有相同自同态的广义杀戮。值得注意的是，这种分类与左不变度量的选择无关。为了说明这种分类的计算方法，我们还提供了已知的第一个齐次流形的例子，这些流形允许每个n bbbb4具有n个不同特征值的不变广义杀戮旋量。

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Generalised killing spinors on three-dimensional Lie groups.

We present a complete classification of invariant generalised Killing spinors on three-dimensional Lie groups. We show that, in this context, the existence of a non-trivial invariant generalised Killing spinor implies that all invariant spinors are generalised Killing with the same endomorphism. Notably, this classification is independent of the choice of left-invariant metric. To illustrate the computational methods underlying this classification, we also provide the first known examples of homogeneous manifolds admitting invariant generalised Killing spinors with n distinct eigenvalues for each $n > 4$ .

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来源期刊

Manuscripta Mathematica 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： manuscripta mathematica was founded in 1969 to provide a forum for the rapid communication of advances in mathematical research. Edited by an international board whose members represent a wide spectrum of research interests, manuscripta mathematica is now recognized as a leading source of information on the latest mathematical results.