Conformal vector fields on vector bundle manifolds with spherically symmetric metrics

被引：2

作者：

Abbassi, Mohamed Tahar Kadaoui ^{[1
]}

Lakrini, Ibrahim ^{[1
]}

机构：

[1] Univ Sidi Mohamed Ben Abdallah, Lab Algebra Geometry & Arithmet, Dept Math, Fac Sci Dhar El Mahraz, BP 1796 Atlas, Fes, Morocco

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2020年 / 97卷 / 3-4期

关键词：

conformal vector fields; Killing vector fields; vector bundle; spherically symmetric metrics;

D O I：

10.5486/PMD.2020.8677

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate conformal vector fields on vector bundle manifolds when endowed with spherically symmetric metrics. We construct a class of non-trivial conformal vector fields, and establish a classification theorem for conformal horizontal vector fields. Conformal gradient vector fields are investigated and closed vector fields are studied in detail. Finally, we focus on finding some examples of parallel vector fields as well as some of their classification results.

引用

页码：289 / 311

页数：23

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