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Algebraic Ricci solitons on metric Lie groups with zero Schouten–Weyl tensor

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Algebraic Ricci solitons on Lie groups with left-invariant (pseudo)Riemannian metric and zero Schouten–Weyl tensor are studied. The absence of nontrivial algebraic Ricci solitons on metric Lie groups with zero Schouten–Weyl… Click to show full abstract

Algebraic Ricci solitons on Lie groups with left-invariant (pseudo)Riemannian metric and zero Schouten–Weyl tensor are studied. The absence of nontrivial algebraic Ricci solitons on metric Lie groups with zero Schouten–Weyl tensor and diagonalizable Ricci operator is proved.

Keywords: algebraic ricci; weyl tensor; ricci solitons; schouten weyl; lie groups; zero schouten

Journal Title: Doklady Mathematics
Year Published: 2017

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