Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606275 | Differential Geometry and its Applications | 2011 | 8 Pages |
Abstract
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 Einstein metrics, it contains gradient Ricci solitons and is also closely related to the construction of the warped product Einstein metrics. We study properties of quasi-Einstein metrics and prove several rigidity results. We also give a splitting theorem for some Kähler quasi-Einstein metrics.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jeffrey Case, Yu-Jen Shu, Guofang Wei,