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

JOURNAL OF GEOMETRY AND PHYSICS

卷:57

Article

Dusek, Zdenek ; Kowalski, Oldrich

关键词: pseudo-Riemannian manifold;    homogeneous space;    homogeneous manifold;    GO manifold;    homogeneous geodesic;   

DOI  :  10.1016/j.geomphys.2007.04.005

来源: Elsevier

【 摘 要 】

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. (c) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

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