Proceedings of the International Conference on Geometry, Integrability and Quantization

Examples of Pseudo-Riemannian G.O. Manifolds

Zdenek Dušek and Oldrich Kowalski

Abstract

We modify the metrics on six-dimensional and seven-dimensional Riemannian g.o. manifolds constructed in previous published papers and we obtain pseudo-Riemannian g.o. manifolds. We describe geodesic graphs of corresponding g.o. spaces. We show that if these geodesic graphs are nonlinear, they are discontinuous on an nonempty set but they are continuous at the origin.

Article information

Source
Proceedings of the Eighth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov and Manuel de León, eds. (Sofia: Softex, 2007), 144-155

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436792825

Digital Object Identifier
doi:10.7546/giq-8-2007-144-155

Mathematical Reviews number (MathSciNet)
MR2341200

Zentralblatt MATH identifier
1122.53030

Citation

Dušek, Zdenek; Kowalski, Oldrich. Examples of Pseudo-Riemannian G.O. Manifolds. Proceedings of the Eighth International Conference on Geometry, Integrability and Quantization, 144--155, Softex, Sofia, Bulgaria, 2007. doi:10.7546/giq-8-2007-144-155. https://projecteuclid.org/euclid.pgiq/1436792825


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