On gradient Ricci solitons conformal to a pseudo-Euclidean space |
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Authors: | Ezequiel Barbosa Romildo Pina Keti Tenenblat |
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Affiliation: | 1. Departamento de Matemática, Universidade Federal de Minas Gerais, Caixa Postal 702, 30123-970, Belo Horizonte, MG, Brazil 2. IME, Universidade Federal de Goiás, Caixa Postal 131, 74001-970, Goiania, GO, Brazil 3. Departamento de Matemática, Universidade de Brasília, 70910-900, Brasília — DF, Brazil
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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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