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Homogeneous Lorentzian structures on the oscillator groups

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Abstract.

We obtain all the homogeneous pseudo-Riemannian structures on the oscillator groups equipped with a family of left-invariant Lorentzian metrics. Moreover, in the 4-dimensional case we determine all the corresponding reductive decompositions and groups of isometries.

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Authors and Affiliations

  1. IMAFF, CSIC, Serrano 144, 28006 Madrid, Spain, , , , , , ES

    P. M. Gadea

  2. Dep. de Xeometría e Topoloxía, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15706 Santiago de Compostela, Spain, , , , , , ES

    J. A. Oubiña

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  1. P. M. Gadea
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  2. J. A. Oubiña
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Received: 25.9.1997

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M. Gadea, P., A. Oubiña, J. Homogeneous Lorentzian structures on the oscillator groups. Arch. Math. 73, 311–320 (1999). https://doi.org/10.1007/s000130050403

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  • DOI: https://doi.org/10.1007/s000130050403

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