On the Existence of Homogeneous Geodesics in Homogeneous Riemannian Manifolds

By O. Kowalski, J. Szenthe. 2000

105 citations recorded by the source corpus.

Subfields: Applied Mathematics, Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/4d301b7de2583731a58f4a248222e92709d2edb7

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In Applied Mathematics

1. M. Fels

In Astronomy and Astrophysics

1. M. Fels

Citations in the corpus

• Non-reductive Homogeneous Pseudo-Riemannian Manifolds of Dimension Four (2004, background): “The difficulty is that if G is the isometry group of a Riemannian metric on G/H, then G/H is automatically reductive [12] (see Section 4 for an algebraic proof).”
• Exterior Differential Systems with Symmetry (2005, unknown): “Homogeneous geodesics always exist for homogeneous Riemannian manifolds [ 11 ], but it is an open question whether every homogeneous pseudo-Riemannian manifold admits a homogeneous geodesic.”