EuDML | Browse

Displaying 21 – 25 of 25

Homogeneous geodesics in a three-dimensional Lie group

Rosa Anna Marinosci (2002)

Commentationes Mathematicae Universitatis Carolinae

O. Kowalski and J. Szenthe [KS] proved that every homogeneous Riemannian manifold admits at least one homogeneous geodesic, i.eȯne geodesic which is an orbit of a one-parameter group of isometries. In [KNV] the related two problems were studied and a negative answer was given to both ones: (1) Let $M = K / H$ be a homogeneous Riemannian manifold where $K$ is the largest connected group of isometries and $dim M \geq 3$ . Does $M$ always admit more than one homogeneous geodesic? (2) Suppose that $M = K / H$ admits $m = dim M$ linearly independent...

Displaying 21 – 25 of 25

Homogeneous geodesics in a three-dimensional Lie group

Homogeneous geodesics in five-dimensional generalized symmetric spaces.

Horospheres and the Stable Part of the Geodesic Flow.

How to Conjugate C1-Close Group Actions.

Hyperbolic manifolds according to Thurston and Jørgensen

Currently displaying 21 – 25 of 25