Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894477 | Journal of Geometry and Physics | 2014 | 10 Pages |
Abstract
We modify the “Kaplan example” (a six-dimensional nilpotent Lie group which is a Riemannian g.o. space) and we obtain two pseudo-Riemannian homogeneous spaces with noncompact isotropy group. These examples have the property that all geodesics are homogeneous up to a set of measure zero. We also show that the (incomplete) geodesic graphs are strongly discontinuous at the boundary, i.e., the limits along certain curves are always infinite.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Zdeněk Dušek, Oldřich Kowalski,