Scalar Flat Metrics of Eguchi-Hanson Type
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.
作 者: ZHANG Xiao 作者单位: 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 刊 名: 理论物理通讯(英文版) ISTIC SCI 英文刊名: COMMUNICATIONS IN THEORETICAL PHYSICS 年,卷(期): 2004 42(8) 分类号: O4 关键词: scalar curvature Eguchi-Hanson metric generalized positive action conjecture