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Geodesic vectors of (α, β)-metrics on hypercomplex 4-dimensional Lie groups

Year: 2024
Type: article
Abstract: In this paper, we consider invariant (α, β)-metrics and describe all geodesic vectors and investigate the set of all homogeneous geodesics on left invariant hypercomplex four dimensional simply connected Lie groups. Also, we study the conditions for the Douglas and Berwald type of (α, β)-metrics on the left invariant hypercomplex four dimensional simply connected Lie groups.
Authors: Milad Zeinali Laki, Dariush Latifi
Language: English
Open Access status: green
OpenAlex ID: W6963551331
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