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Ricci solitons and geometry of four dimensional Einstein-like neutral Lie groups

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Abstract

We classify left-invariant Einstein-like metrics of neutral signature, over four-dimensional Lie groups. Several geometric properties such as being conformally flat, existing Ricci solitons and Walker structures are exhibited.

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Authors and Affiliations

  1. Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab, Iran

    R. Karami & A. Haji-Badali

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

    A. Zaeim

Authors
  1. R. Karami
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  2. A. Zaeim
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  3. A. Haji-Badali
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Correspondence to A. Haji-Badali.

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Karami, R., Zaeim, A. & Haji-Badali, A. Ricci solitons and geometry of four dimensional Einstein-like neutral Lie groups. Period Math Hung 78, 58–78 (2019). https://doi.org/10.1007/s10998-018-0262-z

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