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Homogeneous Geodesics of $4$-dimensional Solvable Lie Groups
International Electronic Journal of GeometryWe study homogeneous geodesics in $4$-dimensional solvable Lie groups $\mathrm{Sol}_0^4$, $\mathrm{Sol}_1^4$, $\mathrm{Sol}_{m,n}$ and $\mathrm{Nil}_4$.
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Totally geodesic orbits in homogeneous spaces
1996Let M = G/H be a homogeneous space with G a compact, connected Lie group, H С G a closed subgroup and π : G →+ G/H the canonical projection. Let K С G be a closed subgroup and K(o) the orbit of o = π(H), under the restriction of α to K. Put dimK(o) = n.
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HOMOGENEITY AND ISOTROPY IN GEODESIC SPACES
The Quarterly Journal of Mathematics, 1958openaire +2 more sources
Geodesics as products of one‐parameter subgroups in compact lie groups and homogeneous spaces
Mathematische Nachrichten, 2023Nikolaos Panagiotis Souris
exaly
Homogeneous geodesics in solvable Lie groups
Acta Mathematica Hungarica, 2003Giovanni Calvaruso +2 more
exaly
Homogeneous Geodesics of Three-Dimensional Unimodular Lorentzian Lie Groups
Mediterranean Journal of Mathematics, 2006Giovanni Calvaruso, Calvaruso Giovanni
exaly
Homogeneous geodesics and the critical points of the restricted Finsler function
Journal of Contemporary Mathematical Analysis, 2011Parastoo Habibi, Dariush Latifi
exaly
Existence of homogeneous geodesics on homogeneous Finsler spaces of odd dimension
Monatshefte Fur Mathematik, 2016Zaili Yan, Yan Zaili
exaly