Metallic Vector Fields on Three dimensional Lie groups

Authors
Masoumeh Khalili
Ghodratallah Fasihi-Ramandi
Shahroud Azami
Abstract
Lie groups and homogeneous spaces, due to their simple structure, have always been considered for testing geometric conjectures and exploring new concepts. In this article, we define the concept of metallic vector fields. Subsequently, we investigate the existence of these fields on three-dimensional homogeneous manifolds equipped with Riemannian and Lorentzian metrics.
Keywords
Reimannian mteric
Lorentzian manifolds
Metallic vector fields
Lie groups
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