On six-dimensional pseudo-Riemannian almost g.o. spaces

Abstract

We show that, in dimension 6, there exist so-called pseudo-Riemannian almost g.o.spaces, i.e., homogeneous pseudo-Riemannian manifolds whose all geodesics, up to a set of measure zero, are orbits of one-parameter groups of isometries. We also study limits on the boundaries of the geodesic graphs.

Keywords

• six-dimensional
• pseudo-Riemannian
• almost
• spaces