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Scalar Flat Metrics of Eguchi- Hanson Type |
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| Authors: | ZHANG Xiao |
| Institution: | Center of Mathematical Sciences, Zhejiang University, Hangzhou 310027, China ;Institute of Mathematics, Academy of Mathematics and Systems Science, the Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | We use a new method to construct a class of asymptotically locally flat, scalar flat metrics. These metrics were constructed via algebraic geometry method by LeBrun before and provide counterexamples to the generalized positive action conjecture of Hawking and Pope. |
| Keywords: | scalar curvature Eguchi-Hanson metric generalized positive action conjecture |
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