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Homogeneous Geodesics of $4$-dimensional Solvable Lie Groups

International Electronic Journal of Geometry
We study homogeneous geodesics in $4$-dimensional solvable Lie groups $\mathrm{Sol}_0^4$, $\mathrm{Sol}_1^4$, $\mathrm{Sol}_{m,n}$ and $\mathrm{Nil}_4$.
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Parallel and totally geodesic hypersurfaces of non‐reductive homogeneous four‐manifolds

Mathematische Nachrichten, 2020
Reinier Storm, Joeri Van der Veken
exaly  

Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds

Geometriae Dedicata, 2021
Andreas Arvanitoyeorgos   +2 more
exaly  

Riemannian Manifolds and Homogeneous Geodesics

2020
Valerii Berestovskii, Yurii Nikonorov
openaire   +1 more source

Geodesic orbit metrics in a class of homogeneous bundles over quaternionic Stiefel manifolds

Journal of Geometry and Physics, 2021
Andreas Arvanitoyeorgos   +1 more
exaly  

Homogeneous geodesics in a three-dimensional Lie group.

2002
\textit{O. Kowalski} and \textit{J. Szenthe} [Geom. Dedicata 81, 209--214 (2000; Zbl 0980.53061)] proved that every homogeneous Riemannian manifold admits at least one homogeneous geodesic. Consequently, it was quite natural to ask whether there exist more homogeneous geodesics. \textit{O.\ Kowalski, S. Nikčević} and \textit{Z. Vlášek} in another paper
openaire   +2 more sources

Totally geodesic hypersurfaces of homogeneous spaces

Israel Journal of Mathematics, 2015
Yuri Nikolayevsky, Nikolayevsky Y
exaly  

Geodesic spheres and two-point homogeneous spaces

Israel Journal of Mathematics, 1996
Jürgen Berndt   +2 more
exaly  

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