Geodesic vectors of invariant (α, β)-metrics on nilpotent Lie groups of five dimensional
Publish place: Caspian Journal of Mathematical Sciences، Vol: 12، Issue: 2
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
View: 75
This Paper With 13 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_CJMS-12-2_001
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:
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.