The fundamental groups of \(m\)-quasi-Einstein manifolds (Q415734)
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scientific article; zbMATH DE number 6031934
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The fundamental groups of \(m\)-quasi-Einstein manifolds |
scientific article; zbMATH DE number 6031934 |
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The fundamental groups of \(m\)-quasi-Einstein manifolds (English)
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9 May 2012
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Summary: In Ricci flow theory, the topology of Ricci soliton is important. We call a metric quasi-Einstein if the \(m\)-Bakry-Emery Ricci tensor is a constant multiple of the metric tensor. This is a generalization of gradient shrinking Ricci soliton. In this paper, we will prove the finiteness of the fundamental group of \(m\)-quasi-Einstein with a positive constant multiple.
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\(m\)-Bakry-Emery Ricci tensor
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gradient shrinking Ricci soliton
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fundamental group
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