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Four-dimensional homogeneous Lorentzian manifolds

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Abstract

Four-dimensional locally homogeneous Riemannian manifolds are either locally symmetric or locally isometric to Riemannian Lie groups. We determine how and to what extent this result holds in the Lorentzian case.

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Authors and Affiliations

  1. Dipartimento di Matematica e Fisica “E. De Giorgi”, Università del Salento, Prov. Lecce-Arnesano, 73100 , Lecce, Italy

    Giovanni Calvaruso

  2. Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

    Amirhesam Zaeim

Authors
  1. Giovanni Calvaruso
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  2. Amirhesam Zaeim
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Corresponding author

Correspondence to Giovanni Calvaruso.

Additional information

Communicated by A. Cap.

G. Calvaruso was partially supported by funds of the University of Salento and GNSAGA (Italy)

This work was prepared during the stay of the second author at the University of Salento. A. Zaeim wishes to thank the Department of Mathematics of the University of Salento for the hospitality.

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Calvaruso, G., Zaeim, A. Four-dimensional homogeneous Lorentzian manifolds. Monatsh Math 174, 377–402 (2014). https://doi.org/10.1007/s00605-013-0588-9

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