一些特殊的z对称流形及其在时空和里奇孤子中的应用

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2024-11-05 DOI:10.1007/s10474-024-01480-5

B. Kirik Rácz, B. Cindik

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引用次数: 0

摘要

本文研究了一些特殊的z对称流形的各种性质及其在时空上的应用。二阶对称张量场在时空上的分类和完整理论的研究占有重要的地位。研究了完整结构中的z对称流形，得到了一些结果。研究了z循环流形和弱z对称流形上的各种特殊向量场，发现了与z张量的特征向量结构有关的一些关系。此外，还给出了与研究结果相关的几个例子。最后，确定了时空上z张量和里奇孤子之间的一些联系。

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Some special Z-symmetric manifolds with applications to space-times and Ricci solitons

This work aims to investigate various properties of some special Z-symmetric manifolds and their applications on space-times. Having an important place of the study, classifications of second-order symmetric tensor fields on space-times and holonomy theory are considered. Z-symmetric manifolds in the holonomy structure are investigated and some results are obtained. Various special vector fields are examined on Z-recurrent and weakly Z-symmetric manifolds and some relations associated with the eigenvector structure of the Z-tensor are found. In addition, several examples related to the outcomes of the study are given. Finally, some links between the Z-tensor and Ricci solitons on space-times are determined.

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.