Geodesic vectors of invariant (α, β)-metrics on nilpotent Lie groups of five dimensional

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
Abstract:
In this paper, we consider invariant (α, β)- metrics which are induced by invariant Riemannian metrics and invariant vector fields on homogeneous spaces. We first study geodesic vectors and investigates the set of all homogeneous geodesics of (α, β)- metrics. Then we study the geometry of simply connected two-step nilpotent Lie groups of dimension five equipped with a left invariant (α, β)- metrics and we examine Lie algebras with 1-dimensional center, 2-dimensional center and 3-dimensional center.
Language:
English
Published:
Caspian Journal of Mathematical Sciences, Volume:12 Issue: 2, Summer Autumn 2023
Pages:
211 to 223
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