Add to ORKGsummary:A homogeneous Riemannian manifold $M=G/H$ is called a ``g.o. space'' if every geodesic on $M$ arises as an orbit of a one-parameter subgroup of $G$. Let $M=G/H$ be such a ``g.o. space'', and $m$ an $\text{Ad}(H)$-invariant vector subspace of $\text{Lie}(G)$ such that $\text{Lie}(G)=m\oplus\text{Lie}(H)$. A {\sl geodesic graph} is a map $\xi:m\to\text{Lie}(H)$ such that $$ t\mapsto \exp(t(X+\xi(X)))(eH) $$ is a geodesic for every $X\in m\setminus\{0\}$. The author calculates explicitly such geodesic graphs for certain special 2-step nilpotent Lie groups. More precisely, he deals with ``generalized Heisenberg groups'' (also known as ``H-type groups'') whose center has dimension not exceeding three
AbstractA geodesic curve in a Riemannian homogeneous manifold (M=G/K,g) is called a homogeneous geod...
summary:O. Kowalski and J. Szenthe [KS] proved that every homogeneous Riemannian manifold admits at ...
summary:A geodesic of a homogeneous Riemannian manifold $(M=G/K, g)$ is called homogeneous if it is ...
summary:A homogeneous Riemannian manifold $M=G/H$ is called a ``g.o. space'' if every geodesic on $M...
summary:A homogeneous Riemannian manifold $M=G/H$ is called a ``g.o. space'' if every geodesic on $M...
summary:Structure of geodesic graphs in special families of invariant weakly symmetric Finsler metri...
summary:Structure of geodesic graphs in special families of invariant weakly symmetric Finsler metri...
summary:In ( Dušek, Z., Kowalski, O. and Nikčević, S. Ž., New examples of Riemannian g.o. manifolds ...
summary:In ( Dušek, Z., Kowalski, O. and Nikčević, S. Ž., New examples of Riemannian g.o. manifolds ...
Abstract. A g.o. space is a homogeneous Riemannian manifold (G/H, g) on which every geodesic is an o...
In [8] the first author and J. Szenthe proved, for a general homogeneous Riemannian manifold, some e...
summary:The concept of geodesic graph is generalized from Riemannian geometry to Finsler geometry, i...
summary:The concept of geodesic graph is generalized from Riemannian geometry to Finsler geometry, i...
summary:O. Kowalski and J. Szenthe [KS] proved that every homogeneous Riemannian manifold admits at ...
summary:O. Kowalski and J. Szenthe [KS] proved that every homogeneous Riemannian manifold admits at ...
AbstractA geodesic curve in a Riemannian homogeneous manifold (M=G/K,g) is called a homogeneous geod...
summary:O. Kowalski and J. Szenthe [KS] proved that every homogeneous Riemannian manifold admits at ...
summary:A geodesic of a homogeneous Riemannian manifold $(M=G/K, g)$ is called homogeneous if it is ...
summary:A homogeneous Riemannian manifold $M=G/H$ is called a ``g.o. space'' if every geodesic on $M...
summary:A homogeneous Riemannian manifold $M=G/H$ is called a ``g.o. space'' if every geodesic on $M...
summary:Structure of geodesic graphs in special families of invariant weakly symmetric Finsler metri...
summary:Structure of geodesic graphs in special families of invariant weakly symmetric Finsler metri...
summary:In ( Dušek, Z., Kowalski, O. and Nikčević, S. Ž., New examples of Riemannian g.o. manifolds ...
summary:In ( Dušek, Z., Kowalski, O. and Nikčević, S. Ž., New examples of Riemannian g.o. manifolds ...
Abstract. A g.o. space is a homogeneous Riemannian manifold (G/H, g) on which every geodesic is an o...
In [8] the first author and J. Szenthe proved, for a general homogeneous Riemannian manifold, some e...
summary:The concept of geodesic graph is generalized from Riemannian geometry to Finsler geometry, i...
summary:The concept of geodesic graph is generalized from Riemannian geometry to Finsler geometry, i...
summary:O. Kowalski and J. Szenthe [KS] proved that every homogeneous Riemannian manifold admits at ...
summary:O. Kowalski and J. Szenthe [KS] proved that every homogeneous Riemannian manifold admits at ...
AbstractA geodesic curve in a Riemannian homogeneous manifold (M=G/K,g) is called a homogeneous geod...
summary:O. Kowalski and J. Szenthe [KS] proved that every homogeneous Riemannian manifold admits at ...
summary:A geodesic of a homogeneous Riemannian manifold $(M=G/K, g)$ is called homogeneous if it is ...