Ricci Bi-Conformal Vector Fields on Lorentzian Walker Manifolds of Low Dimension

Mahin Sohrabpour; Shahroud Azami

doi:10.1134/s1995080223120338

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Ricci Bi-Conformal Vector Fields on Lorentzian Walker Manifolds of Low Dimension

Mahin Sohrabpour Shahroud Azami

Year: 2023 Journal: Lobachevskii Journal of Mathematics Vol: 44 (12)Pages: 5437-5443 Publisher: Pleiades Publishing

DOI: 10.1134/s1995080223120338

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Abstract

In the present paper, we classify the Ricci bi-conformal vector fields on four-dimensional Lorentzian Walker manifolds. Also, we show that which of them are gradient vector fields and Killing vector fields.

Keywords:

Mathematics Conformal map Dimension (graph theory) Pure mathematics Vector field Algebra over a field Mathematical analysis Geometry

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Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Advanced Differential Geometry Research

Physical Sciences → Physics and Astronomy → Astronomy and Astrophysics

Geometry and complex manifolds

Physical Sciences → Mathematics → Geometry and Topology

Ricci Bi-Conformal Vector Fields on Lorentzian Walker Manifolds of Low Dimension

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