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| Rigid Properties of Quasi-almost-Einstein Metrics |
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Citation： |
Linfeng WANG.Rigid Properties of Quasi-almost-Einstein Metrics[J].Chinese Annals of Mathematics B,2012,33(5):715~736 |
| Page view： 1743
Net amount： 1609 |
Authors： |
Linfeng WANG; |
Foundation： |
the National Natural Science Foundation of China (Nos. 10971066, 11171254). |
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| Abstract： |
In this paper, quasi-almost-Einstein metrics on complete manifolds are studied.Two examples are given and several formulas are established. With the help of these formulas, the author proves rigid results on compact or noncompact manifolds, in which some basic tools, such as the weighted volume comparison theorem and the weak maximum principle at in nity, are used. A lower bound estimate for the scalar curvature is also obtained. |
Keywords： |
Quasi-almost-Einstein metric, Potential function, Gradient estimate,Rigid property |
Classification： |
53C21 |
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