Lorentzian connections with parallel twistor-free torsion

IF 0.7 2区数学 Q2 MATHEMATICS

Collectanea Mathematica Pub Date : 2023-12-30 DOI:10.1007/s13348-023-00430-8

Igor Ernst, Anton S. Galaev

引用次数: 0

Abstract

We describe Lorentzian manifolds that admit metric connections with parallel torsion having zero twistorial component and non-zero vectorial component. We also describe Lorentzian manifolds admitting metric connections with closed parallel skew-symmetric torsion.

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具有平行无扭的洛伦兹连接

我们描述了洛伦兹流形，这些流形接纳了具有零扭转分量和非零矢量分量的平行扭转的度量连接。我们还描述了洛伦兹流形，它接纳了具有封闭平行倾斜对称扭转的度量连接。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Collectanea Mathematica 数学-数学

CiteScore

2.70

自引率

9.10%

发文量

审稿时长

>12 weeks

期刊介绍： Collectanea Mathematica publishes original research peer reviewed papers of high quality in all fields of pure and applied mathematics. It is an international journal of the University of Barcelona and the oldest mathematical journal in Spain. It was founded in 1948 by José M. Orts. Previously self-published by the Institut de Matemàtica (IMUB) of the Universitat de Barcelona, as of 2011 it is published by Springer.