特殊伪黎曼空间中的广义φ(Ric)-向量场

Q3 Mathematics

Proceedings of the International Geometry Center Pub Date : 2021-12-17 DOI:10.15673/tmgc.v14i4.2155

N. Vashpanova, A. Savchenko, N. Vasylieva

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引用次数: 1

摘要

本文讨论了允许广义φ(Ric)-向量场的伪黎曼空间。研究了共形平坦、等距、可约和Kählerian伪黎曼空间中这些向量场存在的条件。所得结果可用于构造不同于φ(Ric)-向量场的广义φ(Ric)-向量场。该研究是局部进行的，不受度量张量符号的限制。

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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Generalized φ(Ric)-vector fields in special pseudo-Riemannian spaces

The paper treats pseudo-Riemannian spaces permitting generalized φ(Ric)-vector fields. We study conditions for the existence of such vector fields in conformally flat, equidistant, reducible and Kählerian pseudo-Riemannian spaces. The obtained results can be applied for the construction of generalized φ(Ric)-vector fields that differ from φ(Ric)-vector fields. The research is carried out locally without limitations imposed on a sign of metric tensor.

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来源期刊

Proceedings of the International Geometry Center Mathematics-Geometry and Topology

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

3 weeks