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On gradient Ricci solitons conformal to a pseudo-Euclidean space

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Abstract

We consider gradient Ricci solitons, conformal to an n-dimensional pseudo-Euclidean space, which are invariant under the action of an (n − 1)-dimensional translation group. We provide all such solutions in the case of steady gradient Ricci solitons.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal de Minas Gerais, Caixa Postal 702, 30123-970, Belo Horizonte, MG, Brazil

    Ezequiel Barbosa

  2. IME, Universidade Federal de Goiás, Caixa Postal 131, 74001-970, Goiânia, GO, Brazil

    Romildo Pina

  3. Departamento de Matemática, Universidade de Brasília, 70910-900, Brasília — DF, Brazil

    Keti Tenenblat

Authors
  1. Ezequiel Barbosa
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  2. Romildo Pina
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  3. Keti Tenenblat
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Corresponding author

Correspondence to Ezequiel Barbosa.

Additional information

Partially supported by CNPq.

Partially supported by CAPES-PROCAD.

Partially supported by CNPq and CAPES-PROCAD.

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Barbosa, E., Pina, R. & Tenenblat, K. On gradient Ricci solitons conformal to a pseudo-Euclidean space. Isr. J. Math. 200, 213–224 (2014). https://doi.org/10.1007/s11856-014-0014-6

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  • DOI: https://doi.org/10.1007/s11856-014-0014-6

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