Homogeneous geodesics in solvable Lie groups

DOI10.1023/B:AMHU.0000004942.87374.0ezbMath1057.53041OpenAlexW2058135136WikidataQ115335112 ScholiaQ115335112MaRDI QIDQ1882125

Giovanni Calvaruso, Rosa Anna Marinosci, Oldřich Kowalski

Publication date: 19 October 2004

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:amhu.0000004942.87374.0e

zbMATH Keywords

homogeneous spaceshomogeneous geodesicssolvable Lie groups

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Geodesics in global differential geometry (53C22) Global Riemannian geometry, including pinching (53C20)

Related Items

On Lagrangian and Hamiltonian systems with homogeneous trajectories ⋮ Left-invariant minimal unit vector fields on the solvable Lie group ⋮ Ricci solitons of the \(\mathbb{H}^2 \times \mathbb{R}\) Lie group ⋮ Homogeneous geodesics of non-unimodular Lorentzian Lie groups and naturally reductive Lorentzian spaces in dimension three ⋮ On homogeneous geodesics and weakly symmetric spaces ⋮ The existence of homogeneous geodesics in homogeneous pseudo-Riemannian and affine manifolds ⋮ Parallel and totally geodesic hypersurfaces of 5-dimensional 2-step homogeneous nilmanifolds ⋮ Geodesic bases for Lie algebras ⋮ Unnamed Item ⋮ The Lorentzian oscillator group as a geodesic orbit space