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Einstein-like Pseudo-Riemannian Homogeneous Manifolds of Dimension Four

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Abstract

A full classification of invariant Einstein-like metrics on four-dimensional pseudo-Riemannian homogeneous spaces with non-trivial isotropy is given. Specially, proper examples of Codazzi manifolds which are not conformally flat have been presented.

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Authors and Affiliations

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

    Amirhesam Zaeim

  2. Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab, 55517, Iran

    Ali Haji-Badali

Authors
  1. Amirhesam Zaeim
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  2. Ali Haji-Badali
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Correspondence to Amirhesam Zaeim.

Additional information

A. Zaeim was partially supported by funds of the university of Payame Noor.

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Zaeim, A., Haji-Badali, A. Einstein-like Pseudo-Riemannian Homogeneous Manifolds of Dimension Four. Mediterr. J. Math. 13, 3455–3468 (2016). https://doi.org/10.1007/s00009-016-0696-6

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  • DOI: https://doi.org/10.1007/s00009-016-0696-6

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