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

Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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تاریخ نمایه سازی: 28 اسفند 1402

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 ۱-dimensional center, ۲-dimensional center and ۳-dimensional center.

Keywords:

(\alpha , \beta)-metrics , geodesic vector , two-step nilpotent Lie group , invariant metric

Authors

Dariush Latifi

Department of Mathematics, University of Mohaghegh Ardabili, P.O.Box. ۵۶۱۹۹۱۱۳۶۷, Ardabil-Iran.

Milad Zeinali

Department of Mathematics, University of Mohaghegh Ardabili, P.O.Box. ۵۶۱۹۹۱۱۳۶۷, Ardabil-Iran.