On the solutions of the \((\lambda, n+m)\)-Einstein equation (Q2877826)

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scientific article; zbMATH DE number 6334191
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On the solutions of the \((\lambda, n+m)\)-Einstein equation
scientific article; zbMATH DE number 6334191

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    25 August 2014
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    Bakry-Emery Ricci tensor
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    quasi-Einstein manifolds
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    \((\lambda, n+m)\)-Einstein equation
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    On the solutions of the \((\lambda, n+m)\)-Einstein equation (English)
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    The present note contains two main results regarding the possibility of distinct solutions to the \((\lambda , n+m)\)-Einstein equation. The first of them proves that on compact manifolds there exists no other distinct solution while the second gives other sufficient conditions for this non-existence case in terms of \(\lambda \).
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