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- Title
Geodesic vectors of invariant (α, β)-metrics on nilpotent Lie groups of five dimensional.
- Authors
Zeinali, Milad L.; Latifi, Dariush
- 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.
- Subjects
VECTORS (Calculus); RIEMANNIAN metric; HOMOGENEOUS spaces; LIE algebras; MATHEMATICAL symmetry
- Publication
Caspian Journal of Mathematical Sciences, 2023, Vol 12, Issue 2, p211
- ISSN
2676-7260
- Publication type
Article