Homogeneous Geodesics of $4$-dimensional Solvable Lie Groups

Authors : Jun-ichi Inoguchı

Pages : 106-136

Doi:10.36890/iejg.1429782

View : 42 | Download : 92

Publication Date : 2024-04-23

Article Type : Research Paper

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