Homogeneous Geodesics of $4$-dimensional Solvable Lie Groups

Year 2024, Volume: 17 Issue: 1, 106 - 136, 23.04.2024

Jun-ichi Inoguchı

https://doi.org/10.36890/iejg.1429782

Abstract

We study homogeneous geodesics in $4$-dimensional solvable Lie groups $\mathrm{Sol}_0^4$,
$\mathrm{Sol}_1^4$, $\mathrm{Sol}_{m,n}$ and $\mathrm{Nil}_4$.

Keywords

Homogeneous geodesics, solvable Lie group, 4-dimensional geometry

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